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16303968 = 253256611
BaseRepresentation
bin111110001100…
…011101100000
31010200022211200
4332030131200
513133211333
61341241200
7255403302
oct76143540
933608750
1016303968
11922645a
125563200
1334bb025
142245972
151670c13
hexf8c760

16303968 has 36 divisors (see below), whose sum is σ = 46365228. Its totient is φ = 5434560.

The previous prime is 16303949. The next prime is 16304017. The reversal of 16303968 is 86930361.

It is a happy number.

16303968 is digitally balanced in base 2, because in such base 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 (36).

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 5 ways as a sum of consecutive naturals, for example, 28018 + ... + 28593.

It is an arithmetic number, because the mean of its divisors is an integer number (1287923).

Almost surely, 216303968 is an apocalyptic number.

16303968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16303968 is an abundant number, since it is smaller than the sum of its proper divisors (30061260).

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

16303968 is a wasteful number, since it uses less digits than its factorization.

16303968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56627 (or 56616 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 16303968 is about 4037.8172321194. The cubic root of 16303968 is about 253.5699420700.

It can be divided in two parts, 16303 and 968, that added together give a palindrome (17271).

The spelling of 16303968 in words is "sixteen million, three hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 56611 113222 169833 226444 339666 452888 509499 679332 905776 1018998 1358664 1811552 2037996 2717328 4075992 5434656 8151984 16303968