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136808200 = 23521374993
BaseRepresentation
bin10000010011110…
…00011100001000
3100112102120120101
420021320130020
5240010330300
621324135144
73250564504
oct1011703410
9315376511
10136808200
1170252031
12399974b4
13224605c9
1414253304
15c025b6a
hex8278708

136808200 has 48 divisors (see below), whose sum is σ = 320464980. Its totient is φ = 54312960.

The previous prime is 136808137. The next prime is 136808201. The reversal of 136808200 is 2808631.

It can be written as a sum of positive squares in 6 ways, for example, as 44916804 + 91891396 = 6702^2 + 9586^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136808201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24904 + ... + 29896.

Almost surely, 2136808200 is an apocalyptic number.

136808200 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 136808200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160232490).

136808200 is an abundant number, since it is smaller than the sum of its proper divisors (183656780).

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

136808200 is a wasteful number, since it uses less digits than its factorization.

136808200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 136808200 is about 11696.5037511215. The cubic root of 136808200 is about 515.2729881451.

The spelling of 136808200 in words is "one hundred thirty-six million, eight hundred eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3425 4993 5480 6850 9986 13700 19972 24965 27400 39944 49930 99860 124825 199720 249650 499300 684041 998600 1368082 2736164 3420205 5472328 6840410 13680820 17101025 27361640 34202050 68404100 136808200