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13677660 = 223458443
BaseRepresentation
bin110100001011…
…010001011100
3221201220020000
4310023101130
512000141120
61205054300
7224154363
oct64132134
927656200
1013677660
1177a2257
1246b7390
132aab7b9
141b607da
151302990
hexd0b45c

13677660 has 60 divisors (see below), whose sum is σ = 42912408. Its totient is φ = 3646944.

The previous prime is 13677649. The next prime is 13677661. The reversal of 13677660 is 6677631.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677661) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2602 + ... + 5841.

Almost surely, 213677660 is an apocalyptic number.

13677660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13677660 is an abundant number, since it is smaller than the sum of its proper divisors (29234748).

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

13677660 is a wasteful number, since it uses less digits than its factorization.

13677660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 13677660 is about 3698.3320564817. The cubic root of 13677660 is about 239.1501189785.

The spelling of 13677660 in words is "thirteen million, six hundred seventy-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8443 16886 25329 33772 42215 50658 75987 84430 101316 126645 151974 168860 227961 253290 303948 379935 455922 506580 683883 759870 911844 1139805 1367766 1519740 2279610 2735532 3419415 4559220 6838830 13677660