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157631076 = 22336171337
BaseRepresentation
bin10010110010101…
…00001001100100
3101222121111012000
421121110021210
5310323143301
623350325300
73622561551
oct1131241144
9358544160
10157631076
1180a84619
1244959830
1326871435
1416d13a28
15dc8a786
hex9654264

157631076 has 96 divisors (see below), whose sum is σ = 422472960. Its totient is φ = 50803200.

The previous prime is 157631069. The next prime is 157631081. The reversal of 157631076 is 670136751.

157631076 is a `hidden beast` number, since 1 + 576 + 3 + 10 + 76 = 666.

It is a super-2 number, since 2×1576310762 = 49695112241835552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157631076.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 467580 + ... + 467916.

It is an arithmetic number, because the mean of its divisors is an integer number (4400760).

Almost surely, 2157631076 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 157631076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211236480).

157631076 is an abundant number, since it is smaller than the sum of its proper divisors (264841884).

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

157631076 is a wasteful number, since it uses less digits than its factorization.

157631076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 157631076 is about 12555.1215047884. The cubic root of 157631076 is about 540.1909201454.

The spelling of 157631076 in words is "one hundred fifty-seven million, six hundred thirty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 71 108 122 142 183 213 244 284 337 366 426 549 639 674 732 852 1011 1098 1278 1348 1647 1917 2022 2196 2556 3033 3294 3834 4044 4331 6066 6588 7668 8662 9099 12132 12993 17324 18198 20557 23927 25986 36396 38979 41114 47854 51972 61671 71781 77958 82228 95708 116937 123342 143562 155916 185013 215343 233874 246684 287124 370026 430686 467748 555039 646029 740052 861372 1110078 1292058 1459547 2220156 2584116 2919094 4378641 5838188 8757282 13135923 17514564 26271846 39407769 52543692 78815538 157631076