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120741280 = 25511312213
BaseRepresentation
bin1110011001001…
…01110110100000
322102012021220021
413030211312200
5221402210110
615551523224
72664166252
oct714456640
9272167807
10120741280
1162178790
1234529514
131c02645a
141206dcd2
15a9002da
hex7325da0

120741280 has 96 divisors (see below), whose sum is σ = 321366528. Its totient is φ = 42470400.

The previous prime is 120741277. The next prime is 120741281. The reversal of 120741280 is 82147021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120741281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53454 + ... + 55666.

It is an arithmetic number, because the mean of its divisors is an integer number (3347568).

Almost surely, 2120741280 is an apocalyptic number.

120741280 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 120741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160683264).

120741280 is an abundant number, since it is smaller than the sum of its proper divisors (200625248).

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

120741280 is a wasteful number, since it uses less digits than its factorization.

120741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 120741280 is about 10988.2337070159. The cubic root of 120741280 is about 494.2559716331.

The spelling of 120741280 in words is "one hundred twenty million, seven hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2213 2480 2728 3410 4426 4960 5456 6820 8852 10912 11065 13640 17704 22130 24343 27280 35408 44260 48686 54560 68603 70816 88520 97372 121715 137206 177040 194744 243430 274412 343015 354080 389488 486860 548824 686030 754633 778976 973720 1097648 1372060 1509266 1947440 2195296 2744120 3018532 3773165 3894880 5488240 6037064 7546330 10976480 12074128 15092660 24148256 30185320 60370640 120741280