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136486080 = 2633515797
BaseRepresentation
bin10000010001010…
…01110011000000
3100111211012201000
420020221303000
5234420023310
621313212000
73245053413
oct1010516300
9314735630
10136486080
1170052015
1239861000
1322379ac3
14141abb7a
15beb04c0
hex8229cc0

136486080 has 112 divisors (see below), whose sum is σ = 481523040. Its totient is φ = 36393984.

The previous prime is 136486079. The next prime is 136486099. The reversal of 136486080 is 80684631.

It is a happy number.

136486080 is a `hidden beast` number, since 1 + 3 + 6 + 48 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742 + ... + 16538.

Almost surely, 2136486080 is an apocalyptic number.

136486080 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 136486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240761520).

136486080 is an abundant number, since it is smaller than the sum of its proper divisors (345036960).

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

136486080 is a wasteful number, since it uses less digits than its factorization.

136486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15807 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136486080 is about 11682.7257093540. The cubic root of 136486080 is about 514.8682605189.

The spelling of 136486080 in words is "one hundred thirty-six million, four hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 15797 31594 47391 63188 78985 94782 126376 142173 157970 189564 236955 252752 284346 315940 379128 426519 473910 505504 568692 631880 710865 758256 853038 947820 1011008 1137384 1263760 1421730 1516512 1706076 1895640 2132595 2274768 2527520 2843460 3033024 3412152 3791280 4265190 4549536 5055040 5686920 6824304 7582560 8530380 9099072 11373840 13648608 15165120 17060760 22747680 27297216 34121520 45495360 68243040 136486080