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157421264 = 24711139829
BaseRepresentation
bin10010110001000…
…00111011010000
3101222012211101012
421120200323100
5310244440024
623342030052
73621026060
oct1130407320
9358184335
10157421264
1180950a20
1244878328
13267c9aa0
1416c9b3a0
15dc4850e
hex9620ed0

157421264 has 80 divisors (see below), whose sum is σ = 409557120. Its totient is φ = 56609280.

The previous prime is 157421239. The next prime is 157421281. The reversal of 157421264 is 462124751.

It is a self number, because there is not a number n which added to its sum of digits gives 157421264.

It is a congruent number.

It is an unprimeable number.

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, 11102 + ... + 20930.

It is an arithmetic number, because the mean of its divisors is an integer number (5119464).

Almost surely, 2157421264 is an apocalyptic number.

157421264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157421264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204778560).

157421264 is an abundant number, since it is smaller than the sum of its proper divisors (252135856).

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

157421264 is a wasteful number, since it uses less digits than its factorization.

157421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868 (or 9862 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 157421264 is about 12546.7630885420. The cubic root of 157421264 is about 539.9511432707.

The spelling of 157421264 in words is "one hundred fifty-seven million, four hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 9829 16016 19658 39316 68803 78632 108119 127777 137606 157264 216238 255554 275212 432476 511108 550424 756833 864952 894439 1022216 1100848 1405547 1513666 1729904 1788878 2044432 2811094 3027332 3577756 5622188 6054664 7155512 9838829 11244376 12109328 14311024 19677658 22488752 39355316 78710632 157421264