Search a number
-
+
156940560 = 24325731139
BaseRepresentation
bin10010101101010…
…11100100010000
3101221022101222100
421112223210100
5310134044220
623323440400
73613654440
oct1126534420
9357271870
10156940560
1180652847
1244686100
132668c04a
1416bb4120
15dba0d90
hex95ab910

156940560 has 120 divisors (see below), whose sum is σ = 602372160. Its totient is φ = 35870976.

The previous prime is 156940559. The next prime is 156940571. The reversal of 156940560 is 65049651.

156940560 is a `hidden beast` number, since 1 + 5 + 6 + 94 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1569405602 = 49260678746227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10530 + ... + 20609.

It is an arithmetic number, because the mean of its divisors is an integer number (5019768).

Almost surely, 2156940560 is an apocalyptic number.

156940560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156940560 is an abundant number, since it is smaller than the sum of its proper divisors (445431600).

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

156940560 is a wasteful number, since it uses less digits than its factorization.

156940560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31165 (or 31156 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 156940560 is about 12527.5919473776. The cubic root of 156940560 is about 539.4009818497.

The spelling of 156940560 in words is "one hundred fifty-six million, nine hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 31139 62278 93417 124556 155695 186834 217973 249112 280251 311390 373668 435946 467085 498224 560502 622780 653919 747336 871892 934170 1089865 1121004 1245560 1307838 1401255 1494672 1743784 1868340 1961757 2179730 2242008 2491120 2615676 2802510 3269595 3487568 3736680 3923514 4359460 4484016 5231352 5605020 6539190 7473360 7847028 8718920 9808785 10462704 11210040 13078380 15694056 17437840 19617570 22420080 26156760 31388112 39235140 52313520 78470280 156940560