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157102374 = 2311131923419
BaseRepresentation
bin10010101110100…
…11000100100110
3101221121121221110
421113103010212
5310204233444
623331125450
73615230262
oct1127230446
9357547843
10157102374
1180753380
1244743886
13267178b0
1416c170a2
15dbd3cb9
hex95d3126

157102374 has 128 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 39726720.

The previous prime is 157102343. The next prime is 157102381. The reversal of 157102374 is 473201751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374737 + ... + 375155.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2157102374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157102374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

157102374 is an abundant number, since it is smaller than the sum of its proper divisors (249323226).

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

157102374 is a wasteful number, since it uses less digits than its factorization.

157102374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 157102374 is about 12534.0485877469. The cubic root of 157102374 is about 539.5863017992.

The spelling of 157102374 in words is "one hundred fifty-seven million, one hundred two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 13 19 22 23 26 33 38 39 46 57 66 69 78 114 138 143 209 247 253 286 299 418 419 429 437 494 506 598 627 741 759 838 858 874 897 1254 1257 1311 1482 1518 1794 2514 2622 2717 3289 4609 4807 5434 5447 5681 6578 7961 8151 9218 9614 9637 9867 10894 11362 13827 14421 15922 16302 16341 17043 19274 19734 23883 27654 28842 28911 32682 34086 47766 57822 59917 62491 87571 103493 106007 119834 124982 125281 175142 179751 183103 187473 206986 212014 250562 262713 310479 318021 359502 366206 374946 375843 525426 549309 620958 636042 751686 1098618 1138423 1378091 2014133 2276846 2380339 2756182 3415269 4028266 4134273 4760678 6042399 6830538 7141017 8268546 12084798 14282034 26183729 52367458 78551187 157102374