Search a number
-
+
156368960 = 26511311433
BaseRepresentation
bin10010101001000…
…00000001000000
3101220020100212222
421110200001000
5310012301320
623303310212
73606054116
oct1124400100
9356210788
10156368960
11802a2350
124444b368
132651bb17
1416aa5ab6
15dadb825
hex9520040

156368960 has 112 divisors (see below), whose sum is σ = 419599872. Its totient is φ = 54988800.

The previous prime is 156368959. The next prime is 156368963. The reversal of 156368960 is 69863651.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (156368963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108404 + ... + 109836.

Almost surely, 2156368960 is an apocalyptic number.

156368960 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 156368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209799936).

156368960 is an abundant number, since it is smaller than the sum of its proper divisors (263230912).

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

156368960 is a wasteful number, since it uses less digits than its factorization.

156368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 156368960 is about 12504.7574946498. The cubic root of 156368960 is about 538.7453266606.

The spelling of 156368960 in words is "one hundred fifty-six million, three hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 620 682 704 880 992 1240 1364 1433 1705 1760 1984 2480 2728 2866 3410 3520 4960 5456 5732 6820 7165 9920 10912 11464 13640 14330 15763 21824 22928 27280 28660 31526 44423 45856 54560 57320 63052 78815 88846 91712 109120 114640 126104 157630 177692 222115 229280 252208 315260 355384 444230 458560 488653 504416 630520 710768 888460 977306 1008832 1261040 1421536 1776920 1954612 2443265 2522080 2843072 3553840 3909224 4886530 5044160 7107680 7818448 9773060 14215360 15636896 19546120 31273792 39092240 78184480 156368960