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14820768 = 253251461
BaseRepresentation
bin111000100010…
…010110100000
31000212222021100
4320202112200
512243231033
61245354400
7236655144
oct70422640
930788240
1014820768
118403076
124b68a00
1330bbbb1
141d7b224
15147b513
hexe225a0

14820768 has 36 divisors (see below), whose sum is σ = 42147378. Its totient is φ = 4940160.

The previous prime is 14820709. The next prime is 14820781. The reversal of 14820768 is 86702841.

It can be written as a sum of positive squares in only one way, i.e., 13046544 + 1774224 = 3612^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25443 + ... + 26018.

Almost surely, 214820768 is an apocalyptic number.

14820768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14820768 is an abundant number, since it is smaller than the sum of its proper divisors (27326610).

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

14820768 is a wasteful number, since it uses less digits than its factorization.

14820768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51477 (or 51466 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14820768 is about 3849.7750583638. The cubic root of 14820768 is about 245.6349930864.

The spelling of 14820768 in words is "fourteen million, eight hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 51461 102922 154383 205844 308766 411688 463149 617532 823376 926298 1235064 1646752 1852596 2470128 3705192 4940256 7410384 14820768