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10540905 = 355313259
BaseRepresentation
bin101000001101…
…011101101001
3201211112101220
4220031131221
510144302110
61013532253
7155411334
oct50153551
921745356
1010540905
115a4a5a1
123644089
132250b2b
14158561b
15dd3370
hexa0d769

10540905 has 16 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 5515328.

The previous prime is 10540903. The next prime is 10540913. The reversal of 10540905 is 50904501.

10540905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10540905 - 21 = 10540903 is a prime.

It is a super-2 number, since 2×105409052 = 222221356438050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540903) 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, 5835 + ... + 7424.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 210540905 is an apocalyptic number.

10540905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10540905 is a deficient number, since it is larger than the sum of its proper divisors (6644055).

10540905 is a wasteful number, since it uses less digits than its factorization.

10540905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10540905 is about 3246.6759924575. The cubic root of 10540905 is about 219.2599444563.

The spelling of 10540905 in words is "ten million, five hundred forty thousand, nine hundred five".

Divisors: 1 3 5 15 53 159 265 795 13259 39777 66295 198885 702727 2108181 3513635 10540905