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136585050 = 23527218583
BaseRepresentation
bin10000010010000…
…01111101011010
3100112000020110120
420021001331122
5234431210200
621315254110
73245645100
oct1011017532
9315006416
10136585050
117010a408
12398aa336
13223b2b74
14141d5c70
15bece9a0
hex8241f5a

136585050 has 72 divisors (see below), whose sum is σ = 394055136. Its totient is φ = 31217760.

The previous prime is 136585037. The next prime is 136585067. The reversal of 136585050 is 50585631.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1942 + ... + 16641.

It is an arithmetic number, because the mean of its divisors is an integer number (5472988).

Almost surely, 2136585050 is an apocalyptic number.

136585050 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 136585050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197027568).

136585050 is an abundant number, since it is smaller than the sum of its proper divisors (257470086).

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

136585050 is a wasteful number, since it uses less digits than its factorization.

136585050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18612 (or 18600 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 136585050 is about 11686.9606827438. The cubic root of 136585050 is about 514.9926790677.

The spelling of 136585050 in words is "one hundred thirty-six million, five hundred eighty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 18583 37166 55749 92915 111498 130081 185830 260162 278745 390243 464575 557490 650405 780486 910567 929150 1300810 1393725 1821134 1951215 2731701 2787450 3252025 3902430 4552835 5463402 6504050 9105670 9756075 13658505 19512150 22764175 27317010 45528350 68292525 136585050