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13979520 = 27335809
BaseRepresentation
bin110101010100…
…111110000000
3222022020022000
4311110332000
512034321040
61215344000
7226552422
oct65247600
928266260
1013979520
117989025
124822000
132b86009
141bdc812
151362130
hexd54f80

13979520 has 128 divisors (see below), whose sum is σ = 49572000. Its totient is φ = 3723264.

The previous prime is 13979507. The next prime is 13979527. The reversal of 13979520 is 2597931.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13979527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16876 + ... + 17684.

Almost surely, 213979520 is an apocalyptic number.

13979520 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 13979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24786000).

13979520 is an abundant number, since it is smaller than the sum of its proper divisors (35592480).

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

13979520 is an equidigital number, since it uses as much as digits as its factorization.

13979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13979520 is about 3738.9196300536. The cubic root of 13979520 is about 240.8966459368.

The spelling of 13979520 in words is "thirteen million, nine hundred seventy-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 809 864 960 1080 1152 1440 1618 1728 1920 2160 2427 2880 3236 3456 4045 4320 4854 5760 6472 7281 8090 8640 9708 12135 12944 14562 16180 17280 19416 21843 24270 25888 29124 32360 36405 38832 43686 48540 51776 58248 64720 72810 77664 87372 97080 103552 109215 116496 129440 145620 155328 174744 194160 218430 232992 258880 291240 310656 349488 388320 436860 465984 517760 582480 698976 776640 873720 931968 1164960 1397952 1553280 1747440 2329920 2795904 3494880 4659840 6989760 13979520