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157700440 = 23553731019
BaseRepresentation
bin10010110011001…
…01000101011000
3101222202000100001
421121211011120
5310332403230
623352022344
73623301022
oct1131450530
9358660301
10157700440
1181021747
12449919b4
1326896b91
1416d31012
15dca10ca
hex9665158

157700440 has 64 divisors (see below), whose sum is σ = 366832800. Its totient is φ = 60982272.

The previous prime is 157700429. The next prime is 157700453. The reversal of 157700440 is 44007751.

It is a junction number, because it is equal to n+sod(n) for n = 157700399 and 157700408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154251 + ... + 155269.

Almost surely, 2157700440 is an apocalyptic number.

157700440 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 157700440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183416400).

157700440 is an abundant number, since it is smaller than the sum of its proper divisors (209132360).

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

157700440 is a wasteful number, since it uses less digits than its factorization.

157700440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 157700440 is about 12557.8835796483. The cubic root of 157700440 is about 540.2701437546.

The spelling of 157700440 in words is "one hundred fifty-seven million, seven hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 73 106 146 212 265 292 365 424 530 584 730 1019 1060 1460 2038 2120 2920 3869 4076 5095 7738 8152 10190 15476 19345 20380 30952 38690 40760 54007 74387 77380 108014 148774 154760 216028 270035 297548 371935 432056 540070 595096 743870 1080140 1487740 2160280 2975480 3942511 7885022 15770044 19712555 31540088 39425110 78850220 157700440