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10038980 = 225771707
BaseRepresentation
bin100110010010…
…111011000100
3200220000220002
4212102323010
510032221410
6555100432
7151221110
oct46227304
920800802
1010038980
115737486
123441718
132106533
141494740
15d347a5
hex992ec4

10038980 has 24 divisors (see below), whose sum is σ = 24093888. Its totient is φ = 3441888.

The previous prime is 10038943. The next prime is 10038989. The reversal of 10038980 is 8983001.

It is a happy number.

10038980 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×100389802 = 201562238880800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10038989) 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 7 ways as a sum of consecutive naturals, for example, 35714 + ... + 35993.

It is an arithmetic number, because the mean of its divisors is an integer number (1003912).

Almost surely, 210038980 is an apocalyptic number.

10038980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10038980 is an abundant number, since it is smaller than the sum of its proper divisors (14054908).

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

10038980 is a wasteful number, since it uses less digits than its factorization.

10038980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71723 (or 71721 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 10038980 is about 3168.4349448900. The cubic root of 10038980 is about 215.7230389434.

The spelling of 10038980 in words is "ten million, thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 71707 143414 286828 358535 501949 717070 1003898 1434140 2007796 2509745 5019490 10038980