Search a number
-
+
14260992 = 28331599
BaseRepresentation
bin110110011001…
…101100000000
3222211112101220
4312121230000
512122322432
61225355040
7232134144
oct66315400
928745356
1014260992
118060549
124938a80
132c54175
141c73224
1513ba72c
hexd99b00

14260992 has 72 divisors (see below), whose sum is σ = 39244800. Its totient is φ = 4592640.

The previous prime is 14260991. The next prime is 14260997. The reversal of 14260992 is 29906241.

It is not an unprimeable number, because it can be changed into a prime (14260991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23509 + ... + 24107.

Almost surely, 214260992 is an apocalyptic number.

14260992 is a gapful number since it is divisible by the number (12) 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 14260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622400).

14260992 is an abundant number, since it is smaller than the sum of its proper divisors (24983808).

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

14260992 is an equidigital number, since it uses as much as digits as its factorization.

14260992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 14260992 is about 3776.3728629467. The cubic root of 14260992 is about 242.5027002215.

The spelling of 14260992 in words is "fourteen million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 599 744 768 992 1198 1488 1797 1984 2396 2976 3594 3968 4792 5952 7188 7936 9584 11904 14376 18569 19168 23808 28752 37138 38336 55707 57504 74276 76672 111414 115008 148552 153344 222828 230016 297104 445656 460032 594208 891312 1188416 1782624 2376832 3565248 4753664 7130496 14260992