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14263968 = 253314793
BaseRepresentation
bin110110011010…
…011010100000
3222211200111010
4312122122200
512122421333
61225420520
7232145625
oct66323240
928750433
1014263968
118062804
12493a740
132c55624
141c7434c
1513bb563
hexd9a6a0

14263968 has 48 divisors (see below), whose sum is σ = 38658816. Its totient is φ = 4600320.

The previous prime is 14263961. The next prime is 14263993. The reversal of 14263968 is 86936241.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14263961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 5372.

It is an arithmetic number, because the mean of its divisors is an integer number (805392).

Almost surely, 214263968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14263968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329408).

14263968 is an abundant number, since it is smaller than the sum of its proper divisors (24394848).

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

14263968 is a wasteful number, since it uses less digits than its factorization.

14263968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4829 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 14263968 is about 3776.7668712802. The cubic root of 14263968 is about 242.5195676278.

The spelling of 14263968 in words is "fourteen million, two hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4793 9586 14379 19172 28758 38344 57516 76688 115032 148583 153376 230064 297166 445749 460128 594332 891498 1188664 1782996 2377328 3565992 4754656 7131984 14263968