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157727031 = 37211234241
BaseRepresentation
bin10010110011010…
…11100100110111
3101222210100210220
421121223210313
5310334231111
623352345423
73623441400
oct1131534467
9358710726
10157727031
118103a720
12449a5273
13268a6007
1416d3a9a7
15dca8e06
hex966b937

157727031 has 48 divisors (see below), whose sum is σ = 278546688. Its totient is φ = 78355200.

The previous prime is 157727023. The next prime is 157727047. The reversal of 157727031 is 130727751.

It is not a de Polignac number, because 157727031 - 23 = 157727023 is a prime.

It is a super-2 number, since 2×1577270312 = 49755632616149922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 157726983 and 157727001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157727021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35071 + ... + 39311.

It is an arithmetic number, because the mean of its divisors is an integer number (5803056).

Almost surely, 2157727031 is an apocalyptic number.

157727031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157727031 is a deficient number, since it is larger than the sum of its proper divisors (120819657).

157727031 is a wasteful number, since it uses less digits than its factorization.

157727031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 157727031 is about 12558.9422723412. The cubic root of 157727031 is about 540.3005083200.

The spelling of 157727031 in words is "one hundred fifty-seven million, seven hundred twenty-seven thousand, thirty-one".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1127 1617 1771 3381 4241 5313 12397 12723 29687 37191 46651 89061 97543 139953 207809 292629 326557 623427 682801 979671 1072973 2048403 2285899 3218919 4779607 6857697 7510811 14338821 22532433 52575677 157727031