Search a number
-
+
12297864 = 23319149181
BaseRepresentation
bin101110111010…
…011010001000
3212010210111110
4232322122020
511122012424
61115330320
7206346555
oct56723210
925123443
1012297864
116a3a627
1241509a0
132717757
1418c1a2c
15112dc29
hexbba688

12297864 has 64 divisors (see below), whose sum is σ = 32760000. Its totient is φ = 3836160.

The previous prime is 12297863. The next prime is 12297877. The reversal of 12297864 is 46879221.

12297864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12297863) 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, 67854 + ... + 68034.

It is an arithmetic number, because the mean of its divisors is an integer number (511875).

Almost surely, 212297864 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 12297864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380000).

12297864 is an abundant number, since it is smaller than the sum of its proper divisors (20462136).

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

12297864 is a wasteful number, since it uses less digits than its factorization.

12297864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 12297864 is about 3506.8310481117. The cubic root of 12297864 is about 230.8216610443.

The spelling of 12297864 in words is "twelve million, two hundred ninety-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 149 152 181 228 298 362 447 456 543 596 724 894 1086 1192 1448 1788 2172 2831 3439 3576 4344 5662 6878 8493 10317 11324 13756 16986 20634 22648 26969 27512 33972 41268 53938 67944 80907 82536 107876 161814 215752 323628 512411 647256 1024822 1537233 2049644 3074466 4099288 6148932 12297864