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12275640 = 23325134361
BaseRepresentation
bin101110110100…
…111110111000
3212002200000100
4232310332320
511120310030
61115035400
7206225016
oct56647670
925080010
1012275640
116a24963
12413bb60
13270a5c0
1418b78b6
151127360
hexbb4fb8

12275640 has 192 divisors, whose sum is σ = 44684640. Its totient is φ = 2903040.

The previous prime is 12275639. The next prime is 12275647. The reversal of 12275640 is 4657221.

12275640 is a `hidden beast` number, since 12 + 2 + 7 + 5 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201210 + ... + 201270.

Almost surely, 212275640 is an apocalyptic number.

12275640 is a gapful number since it is divisible by the number (10) 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 12275640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

12275640 is an abundant number, since it is smaller than the sum of its proper divisors (32409000).

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

12275640 is a wasteful number, since it uses less digits than its factorization.

12275640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12275640 is about 3503.6609425000. The cubic root of 12275640 is about 230.6825346133.

The spelling of 12275640 in words is "twelve million, two hundred seventy-five thousand, six hundred forty".