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10640399 = 7211191039
BaseRepresentation
bin101000100101…
…110000001111
3202000120212212
4220211300033
510210443044
61020021035
7156304400
oct50456017
922016785
1010640399
116008320
12369177b
1322871c3
1415ad9a7
15e02a9e
hexa25c0f

10640399 has 24 divisors (see below), whose sum is σ = 14227200. Its totient is φ = 7847280.

The previous prime is 10640387. The next prime is 10640429. The reversal of 10640399 is 99304601.

It is not a de Polignac number, because 10640399 - 28 = 10640143 is a prime.

It is a super-2 number, since 2×106403992 = 226436181758402, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640309) 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 23 ways as a sum of consecutive naturals, for example, 9722 + ... + 10760.

It is an arithmetic number, because the mean of its divisors is an integer number (592800).

Almost surely, 210640399 is an apocalyptic number.

10640399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10640399 is a deficient number, since it is larger than the sum of its proper divisors (3586801).

10640399 is a wasteful number, since it uses less digits than its factorization.

10640399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 10640399 is about 3261.9624461358. The cubic root of 10640399 is about 219.9476390540.

The spelling of 10640399 in words is "ten million, six hundred forty thousand, three hundred ninety-nine".

Divisors: 1 7 11 19 49 77 133 209 539 931 1039 1463 7273 10241 11429 19741 50911 80003 138187 217151 560021 967309 1520057 10640399