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1080980640 = 2535527803
BaseRepresentation
bin100000001101110…
…0111010010100000
32210100001111200000
41000123213102200
54203212340030
6255133100000
735534120025
oct10033472240
92710044600
101080980640
11505204833
12262027600
13142c51a1c
14a37cb54c
1564d7a860
hex406e74a0

1080980640 has 144 divisors (see below), whose sum is σ = 3825607968. Its totient is φ = 288251136.

The previous prime is 1080980617. The next prime is 1080980647. The reversal of 1080980640 is 460890801.

It is a happy number.

1080980640 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 9 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1080980595 and 1080980604.

It is not an unprimeable number, because it can be changed into a prime (1080980647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24979 + ... + 52781.

It is an arithmetic number, because the mean of its divisors is an integer number (26566722).

Almost surely, 21080980640 is an apocalyptic number.

1080980640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912803984).

1080980640 is an abundant number, since it is smaller than the sum of its proper divisors (2744627328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1080980640 is an equidigital number, since it uses as much as digits as its factorization.

1080980640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27833 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1080980640 is about 32878.2700274817. The cubic root of 1080980640 is about 1026.2960056977.

The spelling of 1080980640 in words is "one billion, eighty million, nine hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 27803 38880 55606 83409 111212 139015 166818 222424 250227 278030 333636 417045 444848 500454 556060 667272 750681 834090 889696 1000908 1112120 1251135 1334544 1501362 1668180 2001816 2224240 2252043 2502270 2669088 3002724 3336360 3753405 4003632 4448480 4504086 5004540 6005448 6672720 6756129 7506810 8007264 9008172 10009080 11260215 12010896 13345440 13512258 15013620 18016344 20018160 22520430 24021792 27024516 30027240 33780645 36032688 40036320 45040860 54049032 60054480 67561290 72065376 90081720 108098064 120108960 135122580 180163440 216196128 270245160 360326880 540490320 1080980640