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157906430 = 251161101233
BaseRepresentation
bin10010110100101…
…11010111111110
3102000010110220022
421122113113332
5310411001210
623400252142
73625116413
oct1132272776
9360113808
10157906430
1181152490
1244a71052
1326939876
1416d8610a
15dce2155
hex96975fe

157906430 has 64 divisors (see below), whose sum is σ = 319640256. Its totient is φ = 55680000.

The previous prime is 157906429. The next prime is 157906439. The reversal of 157906430 is 34609751.

Together with 161733825 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157906439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677594 + ... + 677826.

It is an arithmetic number, because the mean of its divisors is an integer number (4994379).

Almost surely, 2157906430 is an apocalyptic number.

157906430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157906430 is an abundant number, since it is smaller than the sum of its proper divisors (161733826).

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

157906430 is a wasteful number, since it uses less digits than its factorization.

157906430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 157906430 is about 12566.0825240009. The cubic root of 157906430 is about 540.5052769516.

The spelling of 157906430 in words is "one hundred fifty-seven million, nine hundred six thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 61 101 110 122 202 233 305 466 505 610 671 1010 1111 1165 1342 2222 2330 2563 3355 5126 5555 6161 6710 11110 12322 12815 14213 23533 25630 28426 30805 47066 61610 67771 71065 117665 135542 142130 156343 235330 258863 312686 338855 517726 677710 781715 1294315 1435513 1563430 2588630 2871026 7177565 14355130 15790643 31581286 78953215 157906430