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13996980 = 2232577761
BaseRepresentation
bin110101011001…
…001110110100
3222100010020200
4311121032310
512040400410
61220000500
7226654344
oct65311664
928303220
1013996980
1179a0158
124830130
132b90c4a
141c04d24
1513673c0
hexd593b4

13996980 has 36 divisors (see below), whose sum is σ = 42458052. Its totient is φ = 3732480.

The previous prime is 13996943. The next prime is 13996993. The reversal of 13996980 is 8969931.

It can be written as a sum of positive squares in 2 ways, for example, as 4485924 + 9511056 = 2118^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38701 + ... + 39060.

Almost surely, 213996980 is an apocalyptic number.

13996980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13996980 is an abundant number, since it is smaller than the sum of its proper divisors (28461072).

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

13996980 is a wasteful number, since it uses less digits than its factorization.

13996980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77776 (or 77771 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 13996980 is about 3741.2538005327. The cubic root of 13996980 is about 240.9968951007.

The spelling of 13996980 in words is "thirteen million, nine hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 77761 155522 233283 311044 388805 466566 699849 777610 933132 1166415 1399698 1555220 2332830 2799396 3499245 4665660 6998490 13996980