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1012124240 = 24517243777
BaseRepresentation
bin111100010100111…
…100101001010000
32121112111020102222
4330110330221100
54033100433430
6244233200212
734036625351
oct7424745120
92545436388
101012124240
1147a354a16
12242b60068
131318c38aa
14985c5d28
155dcc89e5
hex3c53ca50

1012124240 has 60 divisors (see below), whose sum is σ = 2499811356. Its totient is φ = 381026304.

The previous prime is 1012124227. The next prime is 1012124251. The reversal of 1012124240 is 424212101.

It can be written as a sum of positive squares in 6 ways, for example, as 8248384 + 1003875856 = 2872^2 + 31684^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1232 + ... + 45008.

Almost surely, 21012124240 is an apocalyptic number.

1012124240 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 1012124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249905678).

1012124240 is an abundant number, since it is smaller than the sum of its proper divisors (1487687116).

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

1012124240 is a wasteful number, since it uses less digits than its factorization.

1012124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43824 (or 43801 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1012124240 is about 31813.9001067144. The cubic root of 1012124240 is about 1004.0251894444.

Adding to 1012124240 its reverse (424212101), we get a palindrome (1436336341).

The spelling of 1012124240 in words is "one billion, twelve million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120 43777 87554 175108 218885 350216 437770 700432 744209 875540 1488418 1751080 2976836 3502160 3721045 5953672 7442090 11907344 12651553 14884180 25303106 29768360 50606212 59536720 63257765 101212424 126515530 202424848 253031060 506062120 1012124240