Search a number
-
+
30969864 = 233589179
BaseRepresentation
bin111011000100…
…1000000001000
32011021102200000
41312021000020
530412013424
63023443000
7524145102
oct166110010
964242600
1030969864
1116533132
12a456460
136554583
144182572
152abb3c9
hex1d89008

30969864 has 96 divisors (see below), whose sum is σ = 88452000. Its totient is φ = 10150272.

The previous prime is 30969857. The next prime is 30969877. The reversal of 30969864 is 46896903.

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, 172927 + ... + 173105.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 230969864 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 30969864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226000).

30969864 is an abundant number, since it is smaller than the sum of its proper divisors (57482136).

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

30969864 is a wasteful number, since it uses less digits than its factorization.

30969864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 30969864 is about 5565.0574121028. The cubic root of 30969864 is about 314.0362379911.

The spelling of 30969864 in words is "thirty million, nine hundred sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 179 216 243 267 324 356 358 486 534 537 648 712 716 801 972 1068 1074 1432 1602 1611 1944 2136 2148 2403 3204 3222 4296 4806 4833 6408 6444 7209 9612 9666 12888 14418 14499 15931 19224 19332 21627 28836 28998 31862 38664 43254 43497 47793 57672 57996 63724 86508 86994 95586 115992 127448 143379 173016 173988 191172 286758 347976 382344 430137 573516 860274 1147032 1290411 1720548 2580822 3441096 3871233 5161644 7742466 10323288 15484932 30969864