Search a number
-
+
157043664 = 243319353
BaseRepresentation
bin10010101110001…
…00101111010000
3101221111122102000
421113010233100
5310200344124
623325554000
73614564151
oct1127045720
9357448360
10157043664
1180713258
1244715900
13266c6c5b
1416bdd928
15dbc16c9
hex95c4bd0

157043664 has 160 divisors (see below), whose sum is σ = 484790400. Its totient is φ = 48657024.

The previous prime is 157043657. The next prime is 157043669. The reversal of 157043664 is 466340751.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157043669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963062 + ... + 2963114.

It is an arithmetic number, because the mean of its divisors is an integer number (3029940).

Almost surely, 2157043664 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 157043664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242395200).

157043664 is an abundant number, since it is smaller than the sum of its proper divisors (327746736).

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

157043664 is an equidigital number, since it uses as much as digits as its factorization.

157043664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 157043664 is about 12531.7063482991. The cubic root of 157043664 is about 539.5190779926.

The spelling of 157043664 in words is "one hundred fifty-seven million, forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 53 54 57 72 76 106 108 114 144 152 159 171 212 216 228 304 318 342 361 424 432 456 477 513 636 684 722 848 912 954 1007 1026 1083 1272 1368 1431 1444 1908 2014 2052 2166 2544 2736 2862 2888 3021 3249 3816 4028 4104 4332 5724 5776 6042 6498 6859 7632 8056 8208 8664 9063 9747 11448 12084 12996 13718 16112 17328 18126 19133 19494 20577 22896 24168 25992 27189 27436 36252 38266 38988 41154 48336 51984 54378 54872 57399 61731 72504 76532 77976 82308 108756 109744 114798 123462 145008 153064 155952 164616 172197 185193 217512 229596 246924 306128 329232 344394 363527 370386 435024 459192 493848 516591 688788 727054 740772 918384 987696 1033182 1090581 1377576 1454108 1481544 2066364 2181162 2755152 2908216 2963088 3271743 4132728 4362324 5816432 6543486 8265456 8724648 9815229 13086972 17449296 19630458 26173944 39260916 52347888 78521832 157043664