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157131570 = 235291791009
BaseRepresentation
bin10010101110110…
…10001100110010
3101221200002222210
421113122030302
5310211202240
623331512550
73615411351
oct1127321462
9357602883
10157131570
1180773302
1244758756
1326727c7b
1416c23998
15dbdc780
hex95da332

157131570 has 64 divisors (see below), whose sum is σ = 392688000. Its totient is φ = 40190976.

The previous prime is 157131523. The next prime is 157131581. The reversal of 157131570 is 75131751.

157131570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155226 + ... + 156234.

It is an arithmetic number, because the mean of its divisors is an integer number (6135750).

Almost surely, 2157131570 is an apocalyptic number.

157131570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157131570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196344000).

157131570 is an abundant number, since it is smaller than the sum of its proper divisors (235556430).

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

157131570 is a wasteful number, since it uses less digits than its factorization.

157131570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227.

The product of its (nonzero) digits is 3675, while the sum is 30.

The square root of 157131570 is about 12535.2132012184. The cubic root of 157131570 is about 539.6197254101.

The spelling of 157131570 in words is "one hundred fifty-seven million, one hundred thirty-one thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 179 290 358 435 537 870 895 1009 1074 1790 2018 2685 3027 5045 5191 5370 6054 10090 10382 15135 15573 25955 29261 30270 31146 51910 58522 77865 87783 146305 155730 175566 180611 292610 361222 438915 541833 877830 903055 1083666 1806110 2709165 5237719 5418330 10475438 15713157 26188595 31426314 52377190 78565785 157131570