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14368680 = 23325167239
BaseRepresentation
bin110110110011…
…111110101000
31000001000010100
4312303332220
512134244210
61231545400
7233063124
oct66637650
930030110
1014368680
118124447
12498b260
132c911a1
141ca0584
1513dc5c0
hexdb3fa8

14368680 has 96 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3792768.

The previous prime is 14368667. The next prime is 14368681. The reversal of 14368680 is 8686341.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (14368681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60001 + ... + 60239.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 214368680 is an apocalyptic number.

14368680 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 14368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14368680 is an abundant number, since it is smaller than the sum of its proper divisors (32805720).

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

14368680 is a wasteful number, since it uses less digits than its factorization.

14368680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14368680 is about 3790.6041734795. The cubic root of 14368680 is about 243.1115679320. Note that the first 3 decimals are identical.

The spelling of 14368680 in words is "fourteen million, three hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 239 334 360 478 501 668 717 835 956 1002 1195 1336 1434 1503 1670 1912 2004 2151 2390 2505 2868 3006 3340 3585 4008 4302 4780 5010 5736 6012 6680 7170 7515 8604 9560 10020 10755 12024 14340 15030 17208 20040 21510 28680 30060 39913 43020 60120 79826 86040 119739 159652 199565 239478 319304 359217 399130 478956 598695 718434 798260 957912 1197390 1436868 1596520 1796085 2394780 2873736 3592170 4789560 7184340 14368680