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14568972 = 223111937157
BaseRepresentation
bin110111100100…
…111000001100
31000102011212120
4313210320030
512212201342
61240132540
7234556065
oct67447014
930364776
1014568972
118250980
124a67150
1330313c2
141d1356c
15142baec
hexde4e0c

14568972 has 96 divisors (see below), whose sum is σ = 40346880. Its totient is φ = 4043520.

The previous prime is 14568971. The next prime is 14568973. The reversal of 14568972 is 27986541.

14568972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14568971) and next prime (14568973).

It is a Smith number, since the sum of its digits (42) 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 (14568971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92718 + ... + 92874.

It is an arithmetic number, because the mean of its divisors is an integer number (420280).

Almost surely, 214568972 is an apocalyptic number.

14568972 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 14568972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20173440).

14568972 is an abundant number, since it is smaller than the sum of its proper divisors (25777908).

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

14568972 is a wasteful number, since it uses less digits than its factorization.

14568972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 14568972 is about 3816.9322760563. The cubic root of 14568972 is about 244.2359761356.

Subtracting 14568972 from its reverse (27986541), we obtain a square (13417569 = 36632).

The spelling of 14568972 in words is "fourteen million, five hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 157 209 222 228 314 407 418 444 471 627 628 703 814 836 942 1221 1254 1406 1628 1727 1884 2109 2442 2508 2812 2983 3454 4218 4884 5181 5809 5966 6908 7733 8436 8949 10362 11618 11932 15466 17427 17898 20724 23199 23236 30932 32813 34854 35796 46398 63899 65626 69708 92796 98439 110371 127798 131252 191697 196878 220742 255596 331113 383394 393756 441484 662226 766788 1214081 1324452 2428162 3642243 4856324 7284486 14568972