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10476072 = 2332145501
BaseRepresentation
bin100111111101…
…101000101000
3201201020110200
4213331220220
510140213242
61012312200
7155021325
oct47755050
921636420
1010476072
115a05912
123612660
13222a479
141569b4c
15dbe04c
hex9fda28

10476072 has 24 divisors (see below), whose sum is σ = 28372890. Its totient is φ = 3492000.

The previous prime is 10476071. The next prime is 10476083. The reversal of 10476072 is 27067401.

10476072 is a `hidden beast` number, since 10 + 47 + 607 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7257636 + 3218436 = 2694^2 + 1794^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10476071) 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 5 ways as a sum of consecutive naturals, for example, 72679 + ... + 72822.

Almost surely, 210476072 is an apocalyptic number.

10476072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10476072 is an abundant number, since it is smaller than the sum of its proper divisors (17896818).

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

10476072 is a wasteful number, since it uses less digits than its factorization.

10476072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145513 (or 145506 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10476072 is about 3236.6760727635. The cubic root of 10476072 is about 218.8094921725.

It can be divided in two parts, 104 and 76072, that added together give a square (76176 = 2762).

The spelling of 10476072 in words is "ten million, four hundred seventy-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 145501 291002 436503 582004 873006 1164008 1309509 1746012 2619018 3492024 5238036 10476072