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14379768 = 233513569
BaseRepresentation
bin110110110110…
…101011111000
31000001120100000
4312312223320
512140123033
61232113000
7233140344
oct66665370
930046300
1014379768
118131807
124995760
132c96250
141ca4624
1513e0a13
hexdb6af8

14379768 has 96 divisors (see below), whose sum is σ = 43570800. Its totient is φ = 4416768.

The previous prime is 14379767. The next prime is 14379779. The reversal of 14379768 is 86797341.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14379763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24988 + ... + 25556.

Almost surely, 214379768 is an apocalyptic number.

14379768 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 14379768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

14379768 is an abundant number, since it is smaller than the sum of its proper divisors (29191032).

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

14379768 is a wasteful number, since it uses less digits than its factorization.

14379768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 14379768 is about 3792.0664551139. The cubic root of 14379768 is about 243.1740865020.

The spelling of 14379768 in words is "fourteen million, three hundred seventy-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 569 648 702 936 972 1053 1138 1404 1707 1944 2106 2276 2808 3159 3414 4212 4552 5121 6318 6828 7397 8424 10242 12636 13656 14794 15363 20484 22191 25272 29588 30726 40968 44382 46089 59176 61452 66573 88764 92178 122904 133146 138267 177528 184356 199719 266292 276534 368712 399438 532584 553068 599157 798876 1106136 1198314 1597752 1797471 2396628 3594942 4793256 7189884 14379768