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14399040 = 263553283
BaseRepresentation
bin110110111011…
…011001000000
31000002112202210
4312323121000
512141232130
61232342120
7233250465
oct66733100
930075683
1014399040
118145237
1249a4940
132ca1c56
141cab66c
1513e65b0
hexdbb640

14399040 has 112 divisors (see below), whose sum is σ = 46744128. Its totient is φ = 3753984.

The previous prime is 14399039. The next prime is 14399041. The reversal of 14399040 is 4099341.

14399040 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 an interprime number because it is at equal distance from previous prime (14399039) and next prime (14399041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14398989 and 14399007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14399041) 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, 50739 + ... + 51021.

Almost surely, 214399040 is an apocalyptic number.

14399040 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 14399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372064).

14399040 is an abundant number, since it is smaller than the sum of its proper divisors (32345088).

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

14399040 is a wasteful number, since it uses less digits than its factorization.

14399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 14399040 is about 3794.6066989874. The cubic root of 14399040 is about 243.2826733010.

The spelling of 14399040 in words is "fourteen million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 283 318 320 424 480 530 566 636 795 848 849 960 1060 1132 1272 1415 1590 1696 1698 2120 2264 2544 2830 3180 3392 3396 4240 4245 4528 5088 5660 6360 6792 8480 8490 9056 10176 11320 12720 13584 14999 16960 16980 18112 22640 25440 27168 29998 33960 44997 45280 50880 54336 59996 67920 74995 89994 90560 119992 135840 149990 179988 224985 239984 271680 299980 359976 449970 479968 599960 719952 899940 959936 1199920 1439904 1799880 2399840 2879808 3599760 4799680 7199520 14399040