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136883461 = 11133741631
BaseRepresentation
bin10000010100010…
…10110100000101
3100112120101210211
420022022310011
5240020232321
621325515421
73251330101
oct1012126405
9315511724
10136883461
11702a3630
1239a12b71
1322488940
1414272901
15c03d0e1
hex828ad05

136883461 has 32 divisors (see below), whose sum is σ = 169456896. Its totient is φ = 108864000.

The previous prime is 136883459. The next prime is 136883477. The reversal of 136883461 is 164388631.

It is a happy number.

It is a 5-Lehmer number, since φ(136883461) divides (136883461-1)5.

It is a cyclic number.

It is not a de Polignac number, because 136883461 - 21 = 136883459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136883401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216616 + ... + 217246.

It is an arithmetic number, because the mean of its divisors is an integer number (5295528).

Almost surely, 2136883461 is an apocalyptic number.

136883461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

136883461 is a deficient number, since it is larger than the sum of its proper divisors (32573435).

136883461 is a wasteful number, since it uses less digits than its factorization.

136883461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733.

The product of its digits is 82944, while the sum is 40.

The square root of 136883461 is about 11699.7205522183. The cubic root of 136883461 is about 515.3674582410.

The spelling of 136883461 in words is "one hundred thirty-six million, eight hundred eighty-three thousand, four hundred sixty-one".

Divisors: 1 11 13 37 41 143 407 451 481 533 631 1517 5291 5863 6941 8203 16687 19721 23347 25871 90233 216931 256817 284581 303511 336323 957227 3338621 3699553 10529497 12443951 136883461