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14976072 = 2332208001
BaseRepresentation
bin111001001000…
…010001001000
31001011212022100
4321020101020
512313213242
61252553400
7241203006
oct71102110
931155270
1014976072
1184a9821
125022860
1331447a7
141dbba76
1514ac54c
hexe48448

14976072 has 24 divisors (see below), whose sum is σ = 40560390. Its totient is φ = 4992000.

The previous prime is 14976067. The next prime is 14976079. The reversal of 14976072 is 27067941.

It is a happy number.

14976072 is a `hidden beast` number, since 1 + 49 + 7 + 607 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10074276 + 4901796 = 3174^2 + 2214^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (14976079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103929 + ... + 104072.

Almost surely, 214976072 is an apocalyptic number.

14976072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14976072 is an abundant number, since it is smaller than the sum of its proper divisors (25584318).

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

14976072 is a wasteful number, since it uses less digits than its factorization.

14976072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208013 (or 208006 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 14976072 is about 3869.8930217772. The cubic root of 14976072 is about 246.4900009247.

It can be divided in two parts, 1497 and 6072, that added together give a square (7569 = 872).

The spelling of 14976072 in words is "fourteen million, nine hundred seventy-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 208001 416002 624003 832004 1248006 1664008 1872009 2496012 3744018 4992024 7488036 14976072