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27012672 = 2632232039
BaseRepresentation
bin110011100001…
…0111001000000
31212211101102100
41213002321000
523403401142
62402550400
7445414101
oct147027100
955741370
1027012672
1114280025
129068400
13579a33b
1438323a8
152588b4c
hex19c2e40

27012672 has 84 divisors (see below), whose sum is σ = 80832960. Its totient is φ = 8608512.

The previous prime is 27012653. The next prime is 27012673. The reversal of 27012672 is 27621072.

It is not an unprimeable number, because it can be changed into a prime (27012673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12229 + ... + 14267.

Almost surely, 227012672 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 27012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40416480).

27012672 is an abundant number, since it is smaller than the sum of its proper divisors (53820288).

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

27012672 is a wasteful number, since it uses less digits than its factorization.

27012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 27012672 is about 5197.3716434367. The cubic root of 27012672 is about 300.0469259928.

Subtracting 27012672 from its reverse (27621072), we obtain a square (608400 = 7802).

The spelling of 27012672 in words is "twenty-seven million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2039 2208 3312 4078 4416 6117 6624 8156 12234 13248 16312 18351 24468 32624 36702 46897 48936 65248 73404 93794 97872 130496 140691 146808 187588 195744 281382 293616 375176 391488 422073 562764 587232 750352 844146 1125528 1174464 1500704 1688292 2251056 3001408 3376584 4502112 6753168 9004224 13506336 27012672