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12638328 = 2333116987
BaseRepresentation
bin110000001101…
…100001111000
3212210002112020
4300031201320
511213411303
61130514440
7212265303
oct60154170
925702466
1012638328
1171523aa
124295a20
132806701
14196db3a
151199a53
hexc0d878

12638328 has 32 divisors (see below), whose sum is σ = 32616960. Its totient is φ = 4076640.

The previous prime is 12638309. The next prime is 12638333. The reversal of 12638328 is 82383621.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7750 + ... + 9237.

It is an arithmetic number, because the mean of its divisors is an integer number (1019280).

Almost surely, 212638328 is an apocalyptic number.

It is an amenable number.

12638328 is an abundant number, since it is smaller than the sum of its proper divisors (19978632).

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

12638328 is a wasteful number, since it uses less digits than its factorization.

12638328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17027 (or 17023 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12638328 is about 3555.0426157783. The cubic root of 12638328 is about 232.9323853492.

It can be divided in two parts, 1263 and 8328, that added together give a triangular number (9591 = T138).

The spelling of 12638328 in words is "twelve million, six hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 16987 33974 50961 67948 101922 135896 203844 407688 526597 1053194 1579791 2106388 3159582 4212776 6319164 12638328