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11538087 = 31117131157
BaseRepresentation
bin101100000000…
…111010100111
3210201012021120
4230000322213
510423204322
61051145023
7200033511
oct54007247
923635246
1011538087
116570810
123a45173
13250c992
141764bb1
15102da5c
hexb00ea7

11538087 has 32 divisors (see below), whose sum is σ = 18019584. Its totient is φ = 6489600.

The previous prime is 11538083. The next prime is 11538101. The reversal of 11538087 is 78083511.

11538087 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 11538087 - 22 = 11538083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11538083) 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 31 ways as a sum of consecutive naturals, for example, 73413 + ... + 73569.

It is an arithmetic number, because the mean of its divisors is an integer number (563112).

Almost surely, 211538087 is an apocalyptic number.

11538087 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11538087 is a deficient number, since it is larger than the sum of its proper divisors (6481497).

11538087 is a wasteful number, since it uses less digits than its factorization.

11538087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 11538087 is about 3396.7759714176. The cubic root of 11538087 is about 225.9667831725.

The spelling of 11538087 in words is "eleven million, five hundred thirty-eight thousand, eighty-seven".

Divisors: 1 3 11 17 33 51 131 157 187 393 471 561 1441 1727 2227 2669 4323 5181 6681 8007 20567 24497 29359 61701 73491 88077 226237 349639 678711 1048917 3846029 11538087