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10440972 = 2232290027
BaseRepresentation
bin100111110101…
…000100001100
3201122110022200
4213311010030
510133102342
61011441500
7154514103
oct47650414
921573280
1010440972
115991503
1235b6290
1322174b9
14155b03a
15db394c
hex9f510c

10440972 has 18 divisors (see below), whose sum is σ = 26392548. Its totient is φ = 3480312.

The previous prime is 10440967. The next prime is 10440973. The reversal of 10440972 is 27904401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (10440973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144978 + ... + 145049.

Almost surely, 210440972 is an apocalyptic number.

10440972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10440972 is an abundant number, since it is smaller than the sum of its proper divisors (15951576).

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

10440972 is a wasteful number, since it uses less digits than its factorization.

10440972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290037 (or 290032 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10440972 is about 3231.2492940038. The cubic root of 10440972 is about 218.5648455570.

The spelling of 10440972 in words is "ten million, four hundred forty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 290027 580054 870081 1160108 1740162 2610243 3480324 5220486 10440972