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12817680 = 243553407
BaseRepresentation
bin110000111001…
…010100010000
3220010012112220
4300321110100
511240131210
61134421040
7213643221
oct60712420
926105486
1012817680
117265127
124361780
13286a235
1419b9248
1511d2c70
hexc39510

12817680 has 40 divisors (see below), whose sum is σ = 39735552. Its totient is φ = 3417984.

The previous prime is 12817667. The next prime is 12817687. The reversal of 12817680 is 8671821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12817687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26464 + ... + 26943.

Almost surely, 212817680 is an apocalyptic number.

12817680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12817680 is an abundant number, since it is smaller than the sum of its proper divisors (26917872).

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

12817680 is a wasteful number, since it uses less digits than its factorization.

12817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53423 (or 53417 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 12817680 is about 3580.1787664864. The cubic root of 12817680 is about 234.0290708276.

The spelling of 12817680 in words is "twelve million, eight hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 53407 106814 160221 213628 267035 320442 427256 534070 640884 801105 854512 1068140 1281768 1602210 2136280 2563536 3204420 4272560 6408840 12817680