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11303957 = 72230693
BaseRepresentation
bin101011000111…
…110000010101
3210021022010002
4223013300111
510343211312
61042141045
7165040100
oct53076025
923238102
1011303957
116420915
123951785
13245a242
141703737
15ed44c2
hexac7c15

11303957 has 6 divisors (see below), whose sum is σ = 13149558. Its totient is φ = 9689064.

The previous prime is 11303911. The next prime is 11303989. The reversal of 11303957 is 75930311.

11303957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11195716 + 108241 = 3346^2 + 329^2 .

It is not a de Polignac number, because 11303957 - 218 = 11041813 is a prime.

It is a super-3 number, since 3×113039573 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115298 + ... + 115395.

It is an arithmetic number, because the mean of its divisors is an integer number (2191593).

Almost surely, 211303957 is an apocalyptic number.

It is an amenable number.

11303957 is a deficient number, since it is larger than the sum of its proper divisors (1845601).

11303957 is an equidigital number, since it uses as much as digits as its factorization.

11303957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230707 (or 230700 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 11303957 is about 3362.1357795306. The cubic root of 11303957 is about 224.4278930400.

The spelling of 11303957 in words is "eleven million, three hundred three thousand, nine hundred fifty-seven".

Divisors: 1 7 49 230693 1614851 11303957