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14972724 = 223213223107
BaseRepresentation
bin111001000111…
…011100110100
31001011200201100
4321013130310
512313111344
61252530100
7241160154
oct71073464
931150640
1014972724
1184a7258
125020930
133143100
141dba764
1514ab569
hexe47734

14972724 has 108 divisors (see below), whose sum is σ = 43164576. Its totient is φ = 4365504.

The previous prime is 14972689. The next prime is 14972731. The reversal of 14972724 is 42727941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 139879 + ... + 139985.

It is an arithmetic number, because the mean of its divisors is an integer number (399672).

Almost surely, 214972724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14972724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582288).

14972724 is an abundant number, since it is smaller than the sum of its proper divisors (28191852).

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

14972724 is a wasteful number, since it uses less digits than its factorization.

14972724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 14972724 is about 3869.4604275015. The cubic root of 14972724 is about 246.4716313988.

The spelling of 14972724 in words is "fourteen million, nine hundred seventy-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 107 117 138 156 169 207 214 234 276 299 321 338 414 428 468 507 598 642 676 828 897 963 1014 1196 1284 1391 1521 1794 1926 2028 2461 2691 2782 3042 3588 3852 3887 4173 4922 5382 5564 6084 7383 7774 8346 9844 10764 11661 12519 14766 15548 16692 18083 22149 23322 25038 29532 31993 34983 36166 44298 46644 50076 54249 63986 69966 72332 88596 95979 108498 127972 139932 162747 191958 216996 287937 325494 383916 415909 575874 650988 831818 1151748 1247727 1663636 2495454 3743181 4990908 7486362 14972724