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10038985 = 511349523
BaseRepresentation
bin100110010010…
…111011001001
3200220000220021
4212102323021
510032221420
6555100441
7151221115
oct46227311
920800807
1010038985
115737490
123441721
132106538
141494745
15d347aa
hex992ec9

10038985 has 16 divisors (see below), whose sum is σ = 13204800. Its totient is φ = 7266240.

The previous prime is 10038943. The next prime is 10038989. The reversal of 10038985 is 58983001.

10038985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10038985 - 221 = 7941833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10038985.

It is not an unprimeable number, because it can be changed into a prime (10038989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18934 + ... + 19456.

It is an arithmetic number, because the mean of its divisors is an integer number (825300).

Almost surely, 210038985 is an apocalyptic number.

It is an amenable number.

10038985 is a deficient number, since it is larger than the sum of its proper divisors (3165815).

10038985 is a wasteful number, since it uses less digits than its factorization.

10038985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 10038985 is about 3168.4357339230. The cubic root of 10038985 is about 215.7230747576.

Subtracting 10038985 from its reverse (58983001), we obtain a square (48944016 = 69962).

The spelling of 10038985 in words is "ten million, thirty-eight thousand, nine hundred eighty-five".

Divisors: 1 5 11 55 349 523 1745 2615 3839 5753 19195 28765 182527 912635 2007797 10038985