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157987956 = 223721391933
BaseRepresentation
bin10010110101010…
…11010001110100
3102000021121201210
421122223101310
5310421103311
623402121420
73625606200
oct1132532164
9360247653
10157987956
11811a8765
1244ab0270
13269679c9
1416da7b00
15dd0b3a6
hex96ab474

157987956 has 72 divisors (see below), whose sum is σ = 432132960. Its totient is φ = 44791488.

The previous prime is 157987939. The next prime is 157987957. The reversal of 157987956 is 659789751.

157987956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157987896 and 157987905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157987957) 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, 80766 + ... + 82698.

Almost surely, 2157987956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157987956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216066480).

157987956 is an abundant number, since it is smaller than the sum of its proper divisors (274145004).

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

157987956 is a wasteful number, since it uses less digits than its factorization.

157987956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2084 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 57.

The square root of 157987956 is about 12569.3259962498. The cubic root of 157987956 is about 540.5982806624.

The spelling of 157987956 in words is "one hundred fifty-seven million, nine hundred eighty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 417 556 588 834 973 1668 1933 1946 2919 3866 3892 5799 5838 6811 7732 11598 11676 13531 13622 20433 23196 27062 27244 40593 40866 54124 81186 81732 94717 162372 189434 268687 284151 378868 537374 568302 806061 1074748 1136604 1612122 1880809 3224244 3761618 5642427 7523236 11284854 13165663 22569708 26331326 39496989 52662652 78993978 157987956