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157184064 = 26371123
BaseRepresentation
bin10010101111001…
…11000001000000
3101221202210000000
421113213001000
5310214342224
623333000000
73616020402
oct1127470100
9357683000
10157184064
11807a9794
1244783000
1326745b2b
1416c38b72
15dbed0c9
hex95e7040

157184064 has 112 divisors (see below), whose sum is σ = 468213440. Its totient is φ = 52348032.

The previous prime is 157184059. The next prime is 157184081. The reversal of 157184064 is 460481751.

It is a happy number.

157184064 is a `hidden beast` number, since 1 + 571 + 84 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 139407 + ... + 140529.

Almost surely, 2157184064 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 157184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234106720).

157184064 is an abundant number, since it is smaller than the sum of its proper divisors (311029376).

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

157184064 is an frugal number, since it uses more digits than its factorization.

157184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 157184064 is about 12537.3068878448. The cubic root of 157184064 is about 539.6798101829.

The spelling of 157184064 in words is "one hundred fifty-seven million, one hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1123 1296 1458 1728 1944 2187 2246 2592 2916 3369 3888 4374 4492 5184 5832 6738 7776 8748 8984 10107 11664 13476 15552 17496 17968 20214 23328 26952 30321 34992 35936 40428 46656 53904 60642 69984 71872 80856 90963 107808 121284 139968 161712 181926 215616 242568 272889 323424 363852 485136 545778 646848 727704 818667 970272 1091556 1455408 1637334 1940544 2183112 2456001 2910816 3274668 4366224 4912002 5821632 6549336 8732448 9824004 13098672 17464896 19648008 26197344 39296016 52394688 78592032 157184064