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157110912 = 2732719483
BaseRepresentation
bin10010101110101…
…01001010000000
3101221122001122200
421113111022000
5310210022122
623331233200
73615264210
oct1127251200
9357561580
10157110912
1180759832
1244748800
132671b74a
1416c1a240
15dbd65ac
hex95d5280

157110912 has 96 divisors (see below), whose sum is σ = 516715680. Its totient is φ = 44886528.

The previous prime is 157110911. The next prime is 157110931. The reversal of 157110912 is 219011751.

157110912 is a `hidden beast` number, since 1 + 571 + 1 + 0 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (157110911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1678 + ... + 17805.

It is an arithmetic number, because the mean of its divisors is an integer number (5382455).

Almost surely, 2157110912 is an apocalyptic number.

157110912 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 157110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258357840).

157110912 is an abundant number, since it is smaller than the sum of its proper divisors (359604768).

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

157110912 is a wasteful number, since it uses less digits than its factorization.

157110912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19510 (or 19495 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 157110912 is about 12534.3891753847. The cubic root of 157110912 is about 539.5960765388.

The spelling of 157110912 in words is "one hundred fifty-seven million, one hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 19483 38966 58449 77932 116898 136381 155864 175347 233796 272762 311728 350694 409143 467592 545524 623456 701388 818286 935184 1091048 1227429 1246912 1402776 1636572 1870368 2182096 2454858 2493824 2805552 3273144 3740736 4364192 4909716 5611104 6546288 7481472 8728384 9819432 11222208 13092576 17456768 19638864 22444416 26185152 39277728 52370304 78555456 157110912