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10044072 = 2332139501
BaseRepresentation
bin100110010100…
…001010101000
3200220021212200
4212110022220
510032402242
6555140200
7151242003
oct46241250
920807780
1010044072
115740295
123444660
13210894c
14149653a
15d3604c
hex9942a8

10044072 has 24 divisors (see below), whose sum is σ = 27202890. Its totient is φ = 3348000.

The previous prime is 10044071. The next prime is 10044091. The reversal of 10044072 is 27044001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6380676 + 3663396 = 2526^2 + 1914^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (10044071) 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, 69679 + ... + 69822.

Almost surely, 210044072 is an apocalyptic number.

10044072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10044072 is an abundant number, since it is smaller than the sum of its proper divisors (17158818).

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

10044072 is a wasteful number, since it uses less digits than its factorization.

10044072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139513 (or 139506 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10044072 is about 3169.2383943149. The cubic root of 10044072 is about 215.7595059963.

Adding to 10044072 its reverse (27044001), we get a palindrome (37088073).

The spelling of 10044072 in words is "ten million, forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139501 279002 418503 558004 837006 1116008 1255509 1674012 2511018 3348024 5022036 10044072