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13999920 = 2435115303
BaseRepresentation
bin110101011001…
…111100110000
3222100021021120
4311121330300
512040444140
61220022240
7226666044
oct65317460
928307246
1013999920
1179a2390
124831980
132b9239c
141c06024
1513681d0
hexd59f30

13999920 has 80 divisors (see below), whose sum is σ = 47354112. Its totient is φ = 3393280.

The previous prime is 13999919. The next prime is 13999957. The reversal of 13999920 is 2999931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 12 + ... + 5291.

Almost surely, 213999920 is an apocalyptic number.

13999920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677056).

13999920 is an abundant number, since it is smaller than the sum of its proper divisors (33354192).

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

13999920 is a wasteful number, since it uses less digits than its factorization.

13999920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 13999920 is about 3741.6466963090. The cubic root of 13999920 is about 241.0137673419.

The spelling of 13999920 in words is "thirteen million, nine hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5303 10606 15909 21212 26515 31818 42424 53030 58333 63636 79545 84848 106060 116666 127272 159090 174999 212120 233332 254544 291665 318180 349998 424240 466664 583330 636360 699996 874995 933328 1166660 1272720 1399992 1749990 2333320 2799984 3499980 4666640 6999960 13999920