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13979040 = 253529123
BaseRepresentation
bin110101010100…
…110110100000
3222022012122020
4311110312200
512034312130
61215341440
7226551135
oct65246640
928265566
1013979040
117988729
124821880
132b85a2a
141bdc58c
151361e10
hexd54da0

13979040 has 48 divisors (see below), whose sum is σ = 44035488. Its totient is φ = 3727616.

The previous prime is 13979039. The next prime is 13979051. The reversal of 13979040 is 4097931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13978992 and 13979010.

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 7 ways as a sum of consecutive naturals, for example, 14082 + ... + 15041.

It is an arithmetic number, because the mean of its divisors is an integer number (917406).

Almost surely, 213979040 is an apocalyptic number.

13979040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13979040 is an abundant number, since it is smaller than the sum of its proper divisors (30056448).

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

13979040 is a wasteful number, since it uses less digits than its factorization.

13979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29141 (or 29133 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 13979040 is about 3738.8554398372. The cubic root of 13979040 is about 240.8938887675.

The spelling of 13979040 in words is "thirteen million, nine hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 29123 58246 87369 116492 145615 174738 232984 291230 349476 436845 465968 582460 698952 873690 931936 1164920 1397904 1747380 2329840 2795808 3494760 4659680 6989520 13979040