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136818630 = 232513337347
BaseRepresentation
bin10000010011110…
…10111111000110
3100112110002212200
420021322333012
5240011144010
621324255330
73250640064
oct1011727706
9315402780
10136818630
1170259953
12399a1546
1322465290
1414257034
15c028cc0
hex827afc6

136818630 has 96 divisors (see below), whose sum is σ = 385336224. Its totient is φ = 33481728.

The previous prime is 136818629. The next prime is 136818631. The reversal of 136818630 is 36818631.

136818630 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 18 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (136818629) and next prime (136818631).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136818631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394117 + ... + 394463.

It is an arithmetic number, because the mean of its divisors is an integer number (4013919).

Almost surely, 2136818630 is an apocalyptic number.

136818630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136818630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192668112).

136818630 is an abundant number, since it is smaller than the sum of its proper divisors (248517594).

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

136818630 is a wasteful number, since it uses less digits than its factorization.

136818630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136818630 is about 11696.9496023536. The cubic root of 136818630 is about 515.2860822937.

Subtracting from 136818630 its reverse (36818631), we obtain a palindrome (99999999).

The spelling of 136818630 in words is "one hundred thirty-six million, eight hundred eighteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 337 347 390 585 674 694 1011 1041 1170 1685 1735 2022 2082 3033 3123 3370 3470 4381 4511 5055 5205 6066 6246 8762 9022 10110 10410 13143 13533 15165 15615 21905 22555 26286 27066 30330 31230 39429 40599 43810 45110 65715 67665 78858 81198 116939 131430 135330 197145 202995 233878 350817 394290 405990 584695 701634 1052451 1169390 1520207 1754085 2104902 3040414 3508170 4560621 5262255 7601035 9121242 10524510 13681863 15202070 22803105 27363726 45606210 68409315 136818630