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157330944 = 293319599
BaseRepresentation
bin10010110000010…
…10111000000000
3101222001020111000
421120022320000
5310234042234
623340052000
73620201541
oct1130127000
9358036430
10157330944
118089a081
1244834000
1326797944
1416c764c8
15dc2b899
hex960ae00

157330944 has 160 divisors (see below), whose sum is σ = 491040000. Its totient is φ = 49600512.

The previous prime is 157330939. The next prime is 157330951. The reversal of 157330944 is 449033751.

It is a super-2 number, since 2×1573309442 = 49506051879862272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 157330899 and 157330908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262357 + ... + 262955.

It is an arithmetic number, because the mean of its divisors is an integer number (3069000).

Almost surely, 2157330944 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 157330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520000).

157330944 is an abundant number, since it is smaller than the sum of its proper divisors (333709056).

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

157330944 is an equidigital number, since it uses as much as digits as its factorization.

157330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 157330944 is about 12543.1632373975. The cubic root of 157330944 is about 539.8478583736.

The spelling of 157330944 in words is "one hundred fifty-seven million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 599 608 684 768 864 912 1026 1152 1198 1216 1368 1536 1728 1797 1824 2052 2304 2396 2432 2736 3456 3594 3648 4104 4608 4792 4864 5391 5472 6912 7188 7296 8208 9584 9728 10782 10944 11381 13824 14376 14592 16173 16416 19168 21564 21888 22762 28752 29184 32346 32832 34143 38336 43128 43776 45524 57504 64692 65664 68286 76672 86256 87552 91048 102429 115008 129384 131328 136572 153344 172512 182096 204858 230016 258768 262656 273144 306688 307287 345024 364192 409716 460032 517536 546288 614574 690048 728384 819432 920064 1035072 1092576 1229148 1380096 1456768 1638864 2070144 2185152 2458296 2760192 2913536 3277728 4140288 4370304 4916592 5827072 6555456 8280576 8740608 9833184 13110912 17481216 19666368 26221824 39332736 52443648 78665472 157330944