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13999680 = 263254861
BaseRepresentation
bin110101011001…
…111001000000
3222100020221200
4311121321000
512040442210
61220021200
7226665252
oct65317100
928306850
1013999680
1179a2192
124831800
132b92246
141c05cd2
1513680c0
hexd59e40

13999680 has 84 divisors (see below), whose sum is σ = 48162972. Its totient is φ = 3732480.

The previous prime is 13999673. The next prime is 13999691. The reversal of 13999680 is 8699931.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 4562496 = 3072^2 + 2136^2 .

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450 + ... + 5310.

Almost surely, 213999680 is an apocalyptic number.

13999680 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 13999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24081486).

13999680 is an abundant number, since it is smaller than the sum of its proper divisors (34163292).

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

13999680 is a wasteful number, since it uses less digits than its factorization.

13999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4871 counting only the distinct ones).

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

The square root of 13999680 is about 3741.6146247309. The cubic root of 13999680 is about 241.0123901047.

The spelling of 13999680 in words is "thirteen million, nine hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4861 9722 14583 19444 24305 29166 38888 43749 48610 58332 72915 77776 87498 97220 116664 145830 155552 174996 194440 218745 233328 291660 311104 349992 388880 437490 466656 583320 699984 777760 874980 933312 1166640 1399968 1555520 1749960 2333280 2799936 3499920 4666560 6999840 13999680