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136010512 = 24111989457
BaseRepresentation
bin10000001101101…
…01101100010000
3100110221001100101
420012311230100
5234304314022
621255102144
73241033051
oct1006655420
9313831311
10136010512
116a857790
1239671954
13222414c1
14140c6728
15be19627
hex81b5b10

136010512 has 80 divisors (see below), whose sum is σ = 306676800. Its totient is φ = 57784320.

The previous prime is 136010503. The next prime is 136010521. The reversal of 136010512 is 215010631.

It is an interprime number because it is at equal distance from previous prime (136010503) and next prime (136010521).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 136010512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297388 + ... + 297844.

It is an arithmetic number, because the mean of its divisors is an integer number (3833460).

Almost surely, 2136010512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136010512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153338400).

136010512 is an abundant number, since it is smaller than the sum of its proper divisors (170666288).

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

136010512 is a wasteful number, since it uses less digits than its factorization.

136010512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 136010512 is about 11662.3544792636. The cubic root of 136010512 is about 514.2695674531.

The spelling of 136010512 in words is "one hundred thirty-six million, ten thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 89 152 176 178 209 304 356 418 457 712 836 914 979 1424 1672 1691 1828 1958 3344 3382 3656 3916 5027 6764 7312 7832 8683 10054 13528 15664 17366 18601 20108 27056 34732 37202 40216 40673 69464 74404 80432 81346 95513 138928 148808 162692 191026 297616 325384 382052 447403 650768 764104 772787 894806 1528208 1545574 1789612 3091148 3579224 6182296 7158448 8500657 12364592 17001314 34002628 68005256 136010512