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14842968 = 2337531667
BaseRepresentation
bin111000100111…
…110001011000
31000221002201120
4320213301120
512244433333
61250045240
7240106650
oct70476130
930832646
1014842968
118418818
124b79820
1330c902a
141d85360
151482db3
hexe27c58

14842968 has 64 divisors (see below), whose sum is σ = 43234560. Its totient is φ = 4158336.

The previous prime is 14842951. The next prime is 14842969. The reversal of 14842968 is 86924841.

14842968 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 Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14842969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8071 + ... + 9737.

It is an arithmetic number, because the mean of its divisors is an integer number (675540).

Almost surely, 214842968 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 14842968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21617280).

14842968 is an abundant number, since it is smaller than the sum of its proper divisors (28391592).

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

14842968 is a wasteful number, since it uses less digits than its factorization.

14842968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1732 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 14842968 is about 3852.6572647979. The cubic root of 14842968 is about 245.7575772958.

The spelling of 14842968 in words is "fourteen million, eight hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 1667 2226 2968 3334 4452 5001 6668 8904 10002 11669 13336 20004 23338 35007 40008 46676 70014 88351 93352 140028 176702 265053 280056 353404 530106 618457 706808 1060212 1236914 1855371 2120424 2473828 3710742 4947656 7421484 14842968