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10507365 = 3251121227
BaseRepresentation
bin101000000101…
…010001100101
3201202211101200
4220011101211
510142213430
61013113113
7155211501
oct50052145
921684350
1010507365
115a27380
123628799
13223b79b
141577301
15dc8460
hexa05465

10507365 has 24 divisors (see below), whose sum is σ = 19869408. Its totient is φ = 5094240.

The previous prime is 10507327. The next prime is 10507373. The reversal of 10507365 is 56370501.

10507365 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10507365 - 211 = 10505317 is a prime.

It is a super-2 number, since 2×105073652 = 220809438486450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10119 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (827892).

Almost surely, 210507365 is an apocalyptic number.

10507365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10507365 is a deficient number, since it is larger than the sum of its proper divisors (9362043).

10507365 is a wasteful number, since it uses less digits than its factorization.

10507365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21249 (or 21246 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10507365 is about 3241.5065941627. The cubic root of 10507365 is about 219.0271436926.

Adding to 10507365 its reverse (56370501), we get a palindrome (66877866).

The spelling of 10507365 in words is "ten million, five hundred seven thousand, three hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 21227 63681 106135 191043 233497 318405 700491 955215 1167485 2101473 3502455 10507365