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11131965 = 335136343
BaseRepresentation
bin101010011101…
…110000111101
3202221120012000
4222131300331
510322210330
61034332513
7163422465
oct52356075
922846160
1011131965
116313679
12388a139
1323c9b80
14169aba5
15e9d560
hexa9dc3d

11131965 has 32 divisors (see below), whose sum is σ = 21315840. Its totient is φ = 5479488.

The previous prime is 11131927. The next prime is 11131979. The reversal of 11131965 is 56913111.

It is not a de Polignac number, because 11131965 - 213 = 11123773 is a prime.

It is a super-2 number, since 2×111319652 = 247841289522450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417 + ... + 4926.

It is an arithmetic number, because the mean of its divisors is an integer number (666120).

Almost surely, 211131965 is an apocalyptic number.

11131965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11131965 is a deficient number, since it is larger than the sum of its proper divisors (10183875).

11131965 is a wasteful number, since it uses less digits than its factorization.

11131965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6364 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 11131965 is about 3336.4599503066. The cubic root of 11131965 is about 223.2838322508.

The spelling of 11131965 in words is "eleven million, one hundred thirty-one thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 6343 19029 31715 57087 82459 95145 171261 247377 285435 412295 742131 856305 1236885 2226393 3710655 11131965