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136432065 = 35711196217
BaseRepresentation
bin10000010000111…
…00100111000001
3100111201110121110
420020130213001
5234411311230
621312113533
73244440060
oct1010344701
9314643543
10136432065
1170015480
12398358a9
132235b343
14141961d7
15be9e4b0
hex821c9c1

136432065 has 64 divisors (see below), whose sum is σ = 286525440. Its totient is φ = 53706240.

The previous prime is 136432063. The next prime is 136432073. The reversal of 136432065 is 560234631.

It is not a de Polignac number, because 136432065 - 21 = 136432063 is a prime.

It is a super-2 number, since 2×1364320652 = 37227416720328450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136432063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18837 + ... + 25053.

It is an arithmetic number, because the mean of its divisors is an integer number (4476960).

Almost surely, 2136432065 is an apocalyptic number.

136432065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136432065 is an abundant number, since it is smaller than the sum of its proper divisors (150093375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136432065 is a wasteful number, since it uses less digits than its factorization.

136432065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 136432065 is about 11680.4137341106. The cubic root of 136432065 is about 514.8003310552.

Adding to 136432065 its reverse (560234631), we get a palindrome (696666696).

The spelling of 136432065 in words is "one hundred thirty-six million, four hundred thirty-two thousand, sixty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1045 1155 1463 1995 3135 4389 6217 7315 18651 21945 31085 43519 68387 93255 118123 130557 205161 217595 341935 354369 478709 590615 652785 826861 1025805 1299353 1436127 1771845 2393545 2480583 3898059 4134305 6496765 7180635 9095471 12402915 19490295 27286413 45477355 136432065