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12727264 = 2511219173
BaseRepresentation
bin110000100011…
…001111100000
3212221121112011
4300203033200
511224233024
61132442304
7213115504
oct60431740
925847464
1012727264
117203200
124319394
132838034
141994304
1511b6094
hexc233e0

12727264 has 72 divisors (see below), whose sum is σ = 29158920. Its totient is φ = 5448960.

The previous prime is 12727249. The next prime is 12727289. The reversal of 12727264 is 46272721.

Its product of digits (9408) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73482 + ... + 73654.

It is an arithmetic number, because the mean of its divisors is an integer number (404985).

Almost surely, 212727264 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 12727264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579460).

12727264 is an abundant number, since it is smaller than the sum of its proper divisors (16431656).

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

12727264 is a wasteful number, since it uses less digits than its factorization.

12727264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 12727264 is about 3567.5291169099. The cubic root of 12727264 is about 233.4774909638.

Adding to 12727264 its reverse (46272721), we get a palindrome (58999985).

The spelling of 12727264 in words is "twelve million, seven hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 173 176 209 242 304 346 352 418 484 608 692 836 968 1384 1672 1903 1936 2299 2768 3287 3344 3806 3872 4598 5536 6574 6688 7612 9196 13148 15224 18392 20933 26296 30448 36157 36784 41866 52592 60896 72314 73568 83732 105184 144628 167464 289256 334928 397727 578512 669856 795454 1157024 1590908 3181816 6363632 12727264