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135668379 = 37111930911
BaseRepresentation
bin10000001011000…
…10001010011011
3100110021200000210
420011202022123
5234212342004
621243502203
73235106430
oct1005421233
9313250023
10135668379
116a643730
1239527963
1322151862
1414037b87
15bd9d089
hex816229b

135668379 has 32 divisors (see below), whose sum is σ = 237404160. Its totient is φ = 66765600.

The previous prime is 135668363. The next prime is 135668387. The reversal of 135668379 is 973866531.

It is a happy number.

It is not a de Polignac number, because 135668379 - 24 = 135668363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135668389) 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, 11067 + ... + 19844.

It is an arithmetic number, because the mean of its divisors is an integer number (7418880).

Almost surely, 2135668379 is an apocalyptic number.

135668379 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

135668379 is a deficient number, since it is larger than the sum of its proper divisors (101735781).

135668379 is a wasteful number, since it uses less digits than its factorization.

135668379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30951.

The product of its digits is 816480, while the sum is 48.

The square root of 135668379 is about 11647.6769786941. The cubic root of 135668379 is about 513.8379921625.

It can be divided in two parts, 13566 and 8379, that added together give a triangular number (21945 = T209).

The spelling of 135668379 in words is "one hundred thirty-five million, six hundred sixty-eight thousand, three hundred seventy-nine".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 30911 92733 216377 340021 587309 649131 1020063 1761927 2380147 4111163 6460399 7140441 12333489 19381197 45222793 135668379