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157312932 = 223721914081
BaseRepresentation
bin10010110000001…
…10011110100100
3101222000022202220
421120012132210
5310233003212
623335432340
73620065200
oct1130063644
9358008686
10157312932
1180887597
12448256b0
132678c69a
1416c6db00
15dc2638c
hex96067a4

157312932 has 72 divisors (see below), whose sum is σ = 449497440. Its totient is φ = 42577920.

The previous prime is 157312891. The next prime is 157312933. The reversal of 157312932 is 239213751.

It is a junction number, because it is equal to n+sod(n) for n = 157312893 and 157312902.

It is not an unprimeable number, because it can be changed into a prime (157312933) 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, 4132 + ... + 18212.

It is an arithmetic number, because the mean of its divisors is an integer number (6243020).

Almost surely, 2157312932 is an apocalyptic number.

157312932 is a gapful number since it is divisible by the number (12) 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 157312932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224748720).

157312932 is an abundant number, since it is smaller than the sum of its proper divisors (292184508).

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

157312932 is a wasteful number, since it uses less digits than its factorization.

157312932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121 (or 14112 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 157312932 is about 12542.4452161451. The cubic root of 157312932 is about 539.8272561313.

The spelling of 157312932 in words is "one hundred fifty-seven million, three hundred twelve thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 11172 14081 28162 42243 56324 84486 98567 168972 197134 267539 295701 394268 535078 591402 689969 802617 1070156 1182804 1379938 1605234 1872773 2069907 2759876 3210468 3745546 4139814 5618319 7491092 8279628 11236638 13109411 22473276 26218822 39328233 52437644 78656466 157312932