Search a number
-
+
13960939680 = 253451077233
BaseRepresentation
bin11010000000010001…
…10000100010100000
31100000221222012220000
431000020300202200
5212043000032210
610225155220000
71002652013022
oct150010604240
940027865800
1013960939680
115a1464a686
1228575a7600
1314164b3c6c
1496622a012
1556a9b9ac0
hex3402308a0

13960939680 has 120 divisors (see below), whose sum is σ = 49270528692. Its totient is φ = 3722913792.

The previous prime is 13960939679. The next prime is 13960939687. The reversal of 13960939680 is 8693906931.

13960939680 is a `hidden beast` number, since 1 + 396 + 0 + 93 + 96 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13495933584 + 465006096 = 116172^2 + 21564^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13960939687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 525657 + ... + 551576.

Almost surely, 213960939680 is an apocalyptic number.

13960939680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13960939680 is an abundant number, since it is smaller than the sum of its proper divisors (35309589012).

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

13960939680 is a wasteful number, since it uses less digits than its factorization.

13960939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077260 (or 1077243 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 13960939680 in words is "thirteen billion, nine hundred sixty million, nine hundred thirty-nine thousand, six hundred eighty".

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 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 1077233 2154466 3231699 4308932 5386165 6463398 8617864 9695097 10772330 12926796 16158495 17235728 19390194 21544660 25853592 29085291 32316990 34471456 38780388 43089320 48475485 51707184 58170582 64633980 77560776 86178640 87255873 96950970 103414368 116341164 129267960 145426455 155121552 172357280 174511746 193901940 232682328 258535920 290852910 310243104 349023492 387803880 436279365 465364656 517071840 581705820 698046984 775607760 872558730 930729312 1163411640 1396093968 1551215520 1745117460 2326823280 2792187936 3490234920 4653646560 6980469840 13960939680