Search a number
-
+
12664456 = 2371753251
BaseRepresentation
bin110000010011…
…111010001000
3212211102100221
4300103322020
511220230311
61131235424
7212434420
oct60237210
925742327
1012664456
11716aaa2
1242a8b74
13281557c
141979480
1511a2671
hexc13e88

12664456 has 64 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 4992000.

The previous prime is 12664447. The next prime is 12664481. The reversal of 12664456 is 65446621.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 50331 + ... + 50581.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 212664456 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 12664456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

12664456 is an abundant number, since it is smaller than the sum of its proper divisors (16728824).

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

12664456 is a wasteful number, since it uses less digits than its factorization.

12664456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 12664456 is about 3558.7154986034. The cubic root of 12664456 is about 233.0927933859.

The spelling of 12664456 in words is "twelve million, six hundred sixty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 53 56 68 106 119 136 212 238 251 371 424 476 502 742 901 952 1004 1484 1757 1802 2008 2968 3514 3604 4267 6307 7028 7208 8534 12614 13303 14056 17068 25228 26606 29869 34136 50456 53212 59738 93121 106424 119476 186242 226151 238952 372484 452302 744968 904604 1583057 1809208 3166114 6332228 12664456