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13762680 = 2335114689
BaseRepresentation
bin110100100000…
…000001111000
3221220012211220
4310200001320
512010401210
61210552040
7224660301
oct64400170
927805756
1013762680
117850118
124738620
132b0b3c9
141b837a8
15131cc70
hexd20078

13762680 has 32 divisors (see below), whose sum is σ = 41288400. Its totient is φ = 3670016.

The previous prime is 13762663. The next prime is 13762687. The reversal of 13762680 is 8626731.

It is a super-2 number, since 2×137626802 = 378822721564800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13762687) 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, 57225 + ... + 57464.

Almost surely, 213762680 is an apocalyptic number.

13762680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13762680 is an abundant number, since it is smaller than the sum of its proper divisors (27525720).

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

13762680 is a wasteful number, since it uses less digits than its factorization.

13762680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114703 (or 114699 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13762680 is about 3709.8086204008. The cubic root of 13762680 is about 239.6446128987.

The spelling of 13762680 in words is "thirteen million, seven hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 114689 229378 344067 458756 573445 688134 917512 1146890 1376268 1720335 2293780 2752536 3440670 4587560 6881340 13762680