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157814128 = 241743103131
BaseRepresentation
bin10010110100000…
…00110101110000
3101222221210021201
421122000311300
5310400023003
623354300544
73624253333
oct1132006560
9358853251
10157814128
118109a0aa
1244a27754
1326906854
1416d6061a
15dcc4b1d
hex9680d70

157814128 has 80 divisors (see below), whose sum is σ = 337049856. Its totient is φ = 71285760.

The previous prime is 157814123. The next prime is 157814131. The reversal of 157814128 is 821418751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157814123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1204623 + ... + 1204753.

Almost surely, 2157814128 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 157814128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168524928).

157814128 is an abundant number, since it is smaller than the sum of its proper divisors (179235728).

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

157814128 is a wasteful number, since it uses less digits than its factorization.

157814128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its digits is 17920, while the sum is 37.

The square root of 157814128 is about 12562.4093230558. The cubic root of 157814128 is about 540.3999414859.

The spelling of 157814128 in words is "one hundred fifty-seven million, eight hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 43 68 86 103 131 136 172 206 262 272 344 412 524 688 731 824 1048 1462 1648 1751 2096 2227 2924 3502 4429 4454 5633 5848 7004 8858 8908 11266 11696 13493 14008 17716 17816 22532 26986 28016 35432 35632 45064 53972 70864 75293 90128 95761 107944 150586 191522 215888 229381 301172 383044 458762 580199 602344 766088 917524 1160398 1204688 1532176 1835048 2320796 3670096 4641592 9283184 9863383 19726766 39453532 78907064 157814128