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14968800 = 253552711
BaseRepresentation
bin111001000110…
…011111100000
31001011111100000
4321012133200
512313000200
61252500000
7241142550
oct71063740
931144300
1014968800
1184a4310
12501a600
1331413a2
141db9160
1514aa300
hexe467e0

14968800 has 432 divisors, whose sum is σ = 68245632. Its totient is φ = 3110400.

The previous prime is 14968787. The next prime is 14968819. The reversal of 14968800 is 886941.

14968800 = 463 + 473 + ... + 893.

It is a happy number.

14968800 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 (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360795 + ... + 1360805.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 214968800 is an apocalyptic number.

14968800 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 14968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

14968800 is an abundant number, since it is smaller than the sum of its proper divisors (53276832).

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

14968800 is a wasteful number, since it uses less digits than its factorization.

14968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14968800 is about 3868.9533468368. The cubic root of 14968800 is about 246.4500980385.

It can be divided in two parts, 1496 and 8800, that added together give a triangular number (10296 = T143).

The spelling of 14968800 in words is "fourteen million, nine hundred sixty-eight thousand, eight hundred".