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14968060 = 22529131197
BaseRepresentation
bin111001000110…
…010011111100
31001011110022121
4321012103330
512312434220
61252452324
7241140442
oct71062374
931143277
1014968060
1184a37a8
12501a0a4
133140c53
141db8b92
1514a9eaa
hexe464fc

14968060 has 48 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 5707520.

The previous prime is 14968049. The next prime is 14968069. The reversal of 14968060 is 6086941.

It is a super-3 number, since 3×149680603 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14968069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75882 + ... + 76078.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 214968060 is an apocalyptic number.

14968060 is a gapful number since it is divisible by the number (10) 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 14968060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

14968060 is an abundant number, since it is smaller than the sum of its proper divisors (17963300).

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

14968060 is a wasteful number, since it uses less digits than its factorization.

14968060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 14968060 is about 3868.8577125555. The cubic root of 14968060 is about 246.4460367894.

The spelling of 14968060 in words is "fourteen million, nine hundred sixty-eight thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 131 145 197 262 290 394 524 580 655 788 985 1310 1970 2620 3799 3940 5713 7598 11426 15196 18995 22852 25807 28565 37990 51614 57130 75980 103228 114260 129035 258070 516140 748403 1496806 2993612 3742015 7484030 14968060