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13720680 = 2332538113
BaseRepresentation
bin110100010101…
…110001101000
3221211002020100
4310111301220
512003030210
61210025400
7224423661
oct64256150
927732210
1013720680
117821606
124718260
132ac525c
141b72368
1513105c0
hexd15c68

13720680 has 48 divisors (see below), whose sum is σ = 44593380. Its totient is φ = 3658752.

The previous prime is 13720661. The next prime is 13720709. The reversal of 13720680 is 8602731.

It can be written as a sum of positive squares in 2 ways, for example, as 13704804 + 15876 = 3702^2 + 126^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18697 + ... + 19416.

Almost surely, 213720680 is an apocalyptic number.

13720680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13720680 is an abundant number, since it is smaller than the sum of its proper divisors (30872700).

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

13720680 is a wasteful number, since it uses less digits than its factorization.

13720680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38130 (or 38123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13720680 is about 3704.1436257251. The cubic root of 13720680 is about 239.4005875158.

It can be divided in two parts, 13720 and 680, that added together give a square (14400 = 1202).

The spelling of 13720680 in words is "thirteen million, seven hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 38113 76226 114339 152452 190565 228678 304904 343017 381130 457356 571695 686034 762260 914712 1143390 1372068 1524520 1715085 2286780 2744136 3430170 4573560 6860340 13720680