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136088064 = 293274219
BaseRepresentation
bin10000001110010…
…00101000000000
3100111001222201200
420013020220000
5234314304224
621300501200
73241505130
oct1007105000
9314058650
10136088064
116a8aaa82
12396aa800
132226a8a8
1414106ac0
15be325c9
hex81c8a00

136088064 has 120 divisors (see below), whose sum is σ = 448974240. Its totient is φ = 38873088.

The previous prime is 136088063. The next prime is 136088081. The reversal of 136088064 is 460880631.

It is a happy number.

It is a super-2 number, since 2×1360880642 = 37039922326536192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (136088063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30147 + ... + 34365.

It is an arithmetic number, because the mean of its divisors is an integer number (3741452).

Almost surely, 2136088064 is an apocalyptic number.

136088064 is a gapful number since it is divisible by the number (14) 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 136088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224487120).

136088064 is an abundant number, since it is smaller than the sum of its proper divisors (312886176).

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

136088064 is an equidigital number, since it uses as much as digits as its factorization.

136088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4231 counting only the distinct ones).

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

The square root of 136088064 is about 11665.6788915176. The cubic root of 136088064 is about 514.3672928790.

The spelling of 136088064 in words is "one hundred thirty-six million, eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4219 4608 5376 8064 8438 10752 12657 16128 16876 25314 29533 32256 33752 37971 50628 59066 67504 75942 88599 101256 118132 135008 151884 177198 202512 236264 265797 270016 303768 354396 405024 472528 531594 540032 607536 708792 810048 945056 1063188 1080064 1215072 1417584 1620096 1890112 2126376 2160128 2430144 2835168 3240192 3780224 4252752 4860288 5670336 6480384 7560448 8505504 9720576 11340672 15120896 17011008 19441152 22681344 34022016 45362688 68044032 136088064