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14881968 = 243411483
BaseRepresentation
bin111000110001…
…010010110000
31001000002020000
4320301102300
512302210333
61250550000
7240331443
oct70612260
931002200
1014881968
118445052
124b98300
1331109ca
141d9565a
15148e713
hexe314b0

14881968 has 50 divisors (see below), whose sum is σ = 43076484. Its totient is φ = 4960224.

The previous prime is 14881963. The next prime is 14881969. The reversal of 14881968 is 86918841.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14881963) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4446 + ... + 7037.

Almost surely, 214881968 is an apocalyptic number.

14881968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14881968 is an abundant number, since it is smaller than the sum of its proper divisors (28194516).

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

14881968 is a wasteful number, since it uses less digits than its factorization.

14881968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503 (or 11488 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 14881968 is about 3857.7153860802. The cubic root of 14881968 is about 245.9726322915.

The spelling of 14881968 in words is "fourteen million, eight hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 11483 22966 34449 45932 68898 91864 103347 137796 183728 206694 275592 310041 413388 551184 620082 826776 930123 1240164 1653552 1860246 2480328 3720492 4960656 7440984 14881968