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14979168 = 25345779
BaseRepresentation
bin111001001001…
…000001100000
31001012000120000
4321021001200
512313313133
61253020000
7241215021
oct71110140
931160500
1014979168
118501086
125024600
133146019
141dbcc48
1514ad413
hexe49060

14979168 has 60 divisors (see below), whose sum is σ = 44060940. Its totient is φ = 4992192.

The previous prime is 14979161. The next prime is 14979197. The reversal of 14979168 is 86197941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14979161) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 298 + ... + 5481.

It is an arithmetic number, because the mean of its divisors is an integer number (734349).

Almost surely, 214979168 is an apocalyptic number.

14979168 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 14979168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22030470).

14979168 is an abundant number, since it is smaller than the sum of its proper divisors (29081772).

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

14979168 is an equidigital number, since it uses as much as digits as its factorization.

14979168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5784 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 14979168 is about 3870.2930121633. The cubic root of 14979168 is about 246.5069853619.

The spelling of 14979168 in words is "fourteen million, nine hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5779 11558 17337 23116 34674 46232 52011 69348 92464 104022 138696 156033 184928 208044 277392 312066 416088 468099 554784 624132 832176 936198 1248264 1664352 1872396 2496528 3744792 4993056 7489584 14979168