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12433680 = 2432572467
BaseRepresentation
bin101111011011…
…100100010000
3212101200210200
4233123210100
511140334210
61122255200
7210453540
oct57334420
925350720
1012433680
117022676
1241b7500
13276450c
141919320
1511590c0
hexbdb910

12433680 has 120 divisors (see below), whose sum is σ = 47740992. Its totient is φ = 2840832.

The previous prime is 12433627. The next prime is 12433693. The reversal of 12433680 is 8633421.

It is a happy number.

12433680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3807 + ... + 6273.

Almost surely, 212433680 is an apocalyptic number.

12433680 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 12433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870496).

12433680 is an abundant number, since it is smaller than the sum of its proper divisors (35307312).

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

12433680 is a wasteful number, since it uses less digits than its factorization.

12433680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12433680 is about 3526.1423680844. The cubic root of 12433680 is about 231.6682734277.

The spelling of 12433680 in words is "twelve million, four hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2467 2520 4934 5040 7401 9868 12335 14802 17269 19736 22203 24670 29604 34538 37005 39472 44406 49340 51807 59208 69076 74010 86345 88812 98680 103614 111015 118416 138152 148020 155421 172690 177624 197360 207228 222030 259035 276304 296040 310842 345380 355248 414456 444060 518070 592080 621684 690760 777105 828912 888120 1036140 1243368 1381520 1554210 1776240 2072280 2486736 3108420 4144560 6216840 12433680