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157187316 = 2231113139659
BaseRepresentation
bin10010101111001…
…11110011110100
3101221202221110110
421113213303310
5310214443231
623333023020
73616033026
oct1127476364
9357687413
10157187316
1180801180
1244784a70
1326747460
1416c3a016
15dbee046
hex95e7cf4

157187316 has 96 divisors (see below), whose sum is σ = 434649600. Its totient is φ = 43585920.

The previous prime is 157187311. The next prime is 157187351. The reversal of 157187316 is 613781751.

It is a super-2 number, since 2×1571873162 = 49415704622567712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157187311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238195 + ... + 238853.

It is an arithmetic number, because the mean of its divisors is an integer number (4527600).

Almost surely, 2157187316 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 157187316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217324800).

157187316 is an abundant number, since it is smaller than the sum of its proper divisors (277462284).

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

157187316 is a wasteful number, since it uses less digits than its factorization.

157187316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The square root of 157187316 is about 12537.4365800988. The cubic root of 157187316 is about 539.6835319907.

The spelling of 157187316 in words is "one hundred fifty-seven million, one hundred eighty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 139 143 156 278 286 417 429 556 572 659 834 858 1318 1529 1668 1716 1807 1977 2636 3058 3614 3954 4587 5421 6116 7228 7249 7908 8567 9174 10842 14498 17134 18348 19877 21684 21747 25701 28996 34268 39754 43494 51402 59631 79508 86988 91601 94237 102804 119262 183202 188474 238524 274803 282711 366404 376948 549606 565422 1007611 1099212 1130844 1190813 2015222 2381626 3022833 3572439 4030444 4763252 6045666 7144878 12091332 13098943 14289756 26197886 39296829 52395772 78593658 157187316