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13399680 = 27357997
BaseRepresentation
bin110011000111…
…011010000000
3221012202220110
4303013122000
511412242210
61155111320
7221616060
oct63073200
927182813
1013399680
117622418
1245a2540
132a12108
141acb3a0
15129a420
hexcc7680

13399680 has 128 divisors (see below), whose sum is σ = 48862080. Its totient is φ = 3059712.

The previous prime is 13399679. The next prime is 13399681. The reversal of 13399680 is 8699331.

It is an interprime number because it is at equal distance from previous prime (13399679) and next prime (13399681).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13399681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12942 + ... + 13938.

It is an arithmetic number, because the mean of its divisors is an integer number (381735).

Almost surely, 213399680 is an apocalyptic number.

13399680 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 13399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24431040).

13399680 is an abundant number, since it is smaller than the sum of its proper divisors (35462400).

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

13399680 is an equidigital number, since it uses as much as digits as its factorization.

13399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 13399680 is about 3660.5573346145. The cubic root of 13399680 is about 237.5188830785.

The spelling of 13399680 in words is "thirteen million, three hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 997 1120 1344 1680 1920 1994 2240 2688 2991 3360 3988 4480 4985 5982 6720 6979 7976 9970 11964 13440 13958 14955 15952 19940 20937 23928 27916 29910 31904 34895 39880 41874 47856 55832 59820 63808 69790 79760 83748 95712 104685 111664 119640 127616 139580 159520 167496 191424 209370 223328 239280 279160 319040 334992 382848 418740 446656 478560 558320 638080 669984 837480 893312 957120 1116640 1339968 1674960 1914240 2233280 2679936 3349920 4466560 6699840 13399680