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13688880 = 243557037
BaseRepresentation
bin110100001110…
…000000110000
3221202110121120
4310032000300
512001021010
61205222240
7224232162
oct64160060
927673546
1013688880
1177aa727
124701980
132ab393a
141b64932
151305e70
hexd0e030

13688880 has 40 divisors (see below), whose sum is σ = 42436272. Its totient is φ = 3650304.

The previous prime is 13688879. The next prime is 13688881. The reversal of 13688880 is 8888631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13688879) and next prime (13688881).

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 (13688881) 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, 28279 + ... + 28758.

Almost surely, 213688880 is an apocalyptic number.

13688880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13688880 is an abundant number, since it is smaller than the sum of its proper divisors (28747392).

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

13688880 is a wasteful number, since it uses less digits than its factorization.

13688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57053 (or 57047 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 13688880 is about 3699.8486455530. The cubic root of 13688880 is about 239.2154939759.

The spelling of 13688880 in words is "thirteen million, six hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 57037 114074 171111 228148 285185 342222 456296 570370 684444 855555 912592 1140740 1368888 1711110 2281480 2737776 3422220 4562960 6844440 13688880