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136434560 = 275297351
BaseRepresentation
bin10000010000111…
…01001110000000
3100111201121000212
420020131032000
5234411401220
621312133252
73244450253
oct1010351600
9314647025
10136434560
1170017339
1239837228
132235c512
141419709a
15bea00c5
hex821d380

136434560 has 64 divisors (see below), whose sum is σ = 337456800. Its totient is φ = 52684800.

The previous prime is 136434553. The next prime is 136434563. The reversal of 136434560 is 65434631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1364345602 = 37228778324787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136434563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14885 + ... + 22235.

Almost surely, 2136434560 is an apocalyptic number.

136434560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168728400).

136434560 is an abundant number, since it is smaller than the sum of its proper divisors (201022240).

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

136434560 is an equidigital number, since it uses as much as digits as its factorization.

136434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 136434560 is about 11680.5205363460. The cubic root of 136434560 is about 514.8034691714.

The spelling of 136434560 in words is "one hundred thirty-six million, four hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 7351 9280 14702 18560 29404 36755 58808 73510 117616 147020 213179 235232 294040 426358 470464 588080 852716 940928 1065895 1176160 1705432 2131790 2352320 3410864 4263580 4704640 6821728 8527160 13643456 17054320 27286912 34108640 68217280 136434560