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12727296 = 210321381
BaseRepresentation
bin110000100011…
…010000000000
3212221121120100
4300203100000
511224233141
61132442400
7213115551
oct60432000
925847510
1012727296
11720322a
124319400
13283805a
141994328
1511b60b6
hexc23400

12727296 has 66 divisors (see below), whose sum is σ = 36776402. Its totient is φ = 4239360.

The previous prime is 12727291. The next prime is 12727301. The reversal of 12727296 is 69272721.

It is an interprime number because it is at equal distance from previous prime (12727291) and next prime (12727301).

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 2073600 = 3264^2 + 1440^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12727296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12727291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8526 + ... + 9906.

Almost surely, 212727296 is an apocalyptic number.

12727296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388201).

12727296 is an abundant number, since it is smaller than the sum of its proper divisors (24049106).

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

12727296 is a wasteful number, since it uses less digits than its factorization.

12727296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1386 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 12727296 is about 3567.5336018039. The cubic root of 12727296 is about 233.4776866401.

The spelling of 12727296 in words is "twelve million, seven hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1381 1536 2304 2762 3072 4143 4608 5524 8286 9216 11048 12429 16572 22096 24858 33144 44192 49716 66288 88384 99432 132576 176768 198864 265152 353536 397728 530304 707072 795456 1060608 1414144 1590912 2121216 3181824 4242432 6363648 12727296