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152031360 = 2735136091
BaseRepresentation
bin10010000111111…
…01000010000000
3101121001222211010
421003331002000
5302410000420
623030320520
73524150055
oct1103750200
9347058733
10152031360
11788aa458
1242ab9140
13256606b0
141629702c
15d5314e0
hex90fd080

152031360 has 128 divisors (see below), whose sum is σ = 521962560. Its totient is φ = 37416960.

The previous prime is 152031343. The next prime is 152031379. The reversal of 152031360 is 63130251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1520313602 = 46227068846899200, which contains 22 as substring.

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, 21915 + ... + 28005.

Almost surely, 2152031360 is an apocalyptic number.

152031360 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 152031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260981280).

152031360 is an abundant number, since it is smaller than the sum of its proper divisors (369931200).

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

152031360 is a wasteful number, since it uses less digits than its factorization.

152031360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 152031360 is about 12330.0997562875. The cubic root of 152031360 is about 533.7170294468.

It can be divided in two parts, 15 and 2031360, that multiplied together give a square (30470400 = 55202).

The spelling of 152031360 in words is "one hundred fifty-two million, thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6091 6240 8320 12182 12480 18273 24364 24960 30455 36546 48728 60910 73092 79183 91365 97456 121820 146184 158366 182730 194912 237549 243640 292368 316732 365460 389824 395915 475098 487280 584736 633464 730920 779648 791830 950196 974560 1169472 1187745 1266928 1461840 1583660 1900392 1949120 2338944 2375490 2533856 2923680 3167320 3800784 3898240 4750980 5067712 5847360 6334640 7601568 9501960 10135424 11694720 12669280 15203136 19003920 25338560 30406272 38007840 50677120 76015680 152031360