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157001360 = 24529313759
BaseRepresentation
bin10010101101110…
…10011010010000
3101221102111101012
421112322122100
5310143020420
623325030052
73614326625
oct1126723220
9357374335
10157001360
118069449a
12446b5328
13266b0919
1416bcc34c
15dbb3dc5
hex95ba690

157001360 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 56125440.

The previous prime is 157001359. The next prime is 157001363. The reversal of 157001360 is 63100751.

It is not an unprimeable number, because it can be changed into a prime (157001363) 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, 2661011 + ... + 2661069.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2157001360 is an apocalyptic number.

157001360 is a gapful number since it is divisible by the number (10) 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 157001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

157001360 is an abundant number, since it is smaller than the sum of its proper divisors (250115440).

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

157001360 is a wasteful number, since it uses less digits than its factorization.

157001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 157001360 is about 12530.0183559323. The cubic root of 157001360 is about 539.4706289091.

The spelling of 157001360 in words is "one hundred fifty-seven million, one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 31 37 40 58 59 62 74 80 116 118 124 145 148 155 185 232 236 248 290 295 296 310 370 464 472 496 580 590 592 620 740 899 944 1073 1147 1160 1180 1240 1480 1711 1798 1829 2146 2183 2294 2320 2360 2480 2960 3422 3596 3658 4292 4366 4495 4588 4720 5365 5735 6844 7192 7316 8555 8584 8732 8990 9145 9176 10730 10915 11470 13688 14384 14632 17110 17168 17464 17980 18290 18352 21460 21830 22940 27376 29264 33263 34220 34928 35960 36580 42920 43660 45880 53041 63307 66526 67673 68440 71920 73160 85840 87320 91760 106082 126614 133052 135346 136880 146320 166315 174640 212164 253228 265205 266104 270692 316535 332630 338365 424328 506456 530410 532208 541384 633070 665260 676730 848656 1012912 1060820 1082768 1266140 1330520 1353460 1962517 2121640 2532280 2661040 2706920 3925034 4243280 5064560 5413840 7850068 9812585 15700136 19625170 31400272 39250340 78500680 157001360