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14387968 = 28723137
BaseRepresentation
bin110110111000…
…101100000000
31000001222120201
4312320230000
512140403333
61232214544
7233203300
oct66705400
930058521
1014387968
118137991
12499a454
132c99bba
141ca7600
1513e317d
hexdb8b00

14387968 has 108 divisors (see below), whose sum is σ = 35418432. Its totient is φ = 5806080.

The previous prime is 14387939. The next prime is 14388037. The reversal of 14387968 is 86978341.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388846 + ... + 388882.

Almost surely, 214387968 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 14387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709216).

14387968 is an abundant number, since it is smaller than the sum of its proper divisors (21030464).

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

14387968 is an equidigital number, since it uses as much as digits as its factorization.

14387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 14387968 is about 3793.1475057002. The cubic root of 14387968 is about 243.2203007061.

The spelling of 14387968 in words is "fourteen million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 49 56 62 64 74 98 112 124 128 148 196 217 224 248 256 259 296 392 434 448 496 518 592 784 868 896 992 1036 1147 1184 1519 1568 1736 1792 1813 1984 2072 2294 2368 3038 3136 3472 3626 3968 4144 4588 4736 6076 6272 6944 7252 7936 8029 8288 9176 9472 12152 12544 13888 14504 16058 16576 18352 24304 27776 29008 32116 33152 36704 48608 55552 56203 58016 64232 66304 73408 97216 112406 116032 128464 146816 194432 224812 232064 256928 293632 388864 449624 464128 513856 899248 1027712 1798496 2055424 3596992 7193984 14387968