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14975712 = 253317333
BaseRepresentation
bin111001001000…
…001011100000
31001011211211000
4321020023200
512313210322
61252552000
7241201653
oct71101340
931154730
1014975712
1184a9524
125022600
13314458b
141dbb89a
1514ac3ac
hexe482e0

14975712 has 48 divisors (see below), whose sum is σ = 43681680. Its totient is φ = 4991616.

The previous prime is 14975711. The next prime is 14975717. The reversal of 14975712 is 21757941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14975711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7803 + ... + 9530.

It is an arithmetic number, because the mean of its divisors is an integer number (910035).

Almost surely, 214975712 is an apocalyptic number.

14975712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14975712 is an abundant number, since it is smaller than the sum of its proper divisors (28705968).

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

14975712 is a wasteful number, since it uses less digits than its factorization.

14975712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17352 (or 17338 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 14975712 is about 3869.8465085840. The cubic root of 14975712 is about 246.4880258383.

It can be divided in two parts, 149757 and 12, that added together give a square (149769 = 3872).

The spelling of 14975712 in words is "fourteen million, nine hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 17333 34666 51999 69332 103998 138664 155997 207996 277328 311994 415992 467991 554656 623988 831984 935982 1247976 1663968 1871964 2495952 3743928 4991904 7487856 14975712