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14390928 = 243237273
BaseRepresentation
bin110110111001…
…011010010000
31000002010122100
4312321122100
512141002203
61232240400
7233215026
oct66713220
930063570
1014390928
11813a132
1249a0100
132c9b356
141ca8716
1513e3ea3
hexdb9690

14390928 has 90 divisors (see below), whose sum is σ = 41959554. Its totient is φ = 4603392.

The previous prime is 14390927. The next prime is 14390933. The reversal of 14390928 is 82909341.

14390928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8573184 + 5817744 = 2928^2 + 2412^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14390892 and 14390901.

It is not an unprimeable number, because it can be changed into a prime (14390921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 197100 + ... + 197172.

Almost surely, 214390928 is an apocalyptic number.

14390928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14390928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20979777).

14390928 is an abundant number, since it is smaller than the sum of its proper divisors (27568626).

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

14390928 is a wasteful number, since it uses less digits than its factorization.

14390928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 14390928 is about 3793.5376629210. The cubic root of 14390928 is about 243.2369785934.

The spelling of 14390928 in words is "fourteen million, three hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 73 74 111 144 146 148 219 222 292 296 333 438 444 584 592 657 666 876 888 1168 1314 1332 1369 1752 1776 2628 2664 2701 2738 3504 4107 5256 5328 5402 5476 8103 8214 10512 10804 10952 12321 16206 16428 21608 21904 24309 24642 32412 32856 43216 48618 49284 64824 65712 97236 98568 99937 129648 194472 197136 199874 299811 388944 399748 599622 799496 899433 1199244 1598992 1798866 2398488 3597732 4796976 7195464 14390928