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136098720 = 2532594513
BaseRepresentation
bin10000001110010…
…11001110100000
3100111002112100100
420013023032200
5234320124340
621301022400
73241551162
oct1007131640
9314075310
10136098720
116a907a8a
12396b4a00
13222726b4
141410a932
15be35830
hex81cb3a0

136098720 has 72 divisors (see below), whose sum is σ = 464441796. Its totient is φ = 36292608.

The previous prime is 136098701. The next prime is 136098727. The reversal of 136098720 is 27890631.

It can be written as a sum of positive squares in 2 ways, for example, as 132987024 + 3111696 = 11532^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (136098727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45817 + ... + 48696.

Almost surely, 2136098720 is an apocalyptic number.

136098720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136098720 is an abundant number, since it is smaller than the sum of its proper divisors (328343076).

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

136098720 is a wasteful number, since it uses less digits than its factorization.

136098720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94534 (or 94523 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 136098720 is about 11666.1356069609. The cubic root of 136098720 is about 514.3807178987.

The spelling of 136098720 in words is "one hundred thirty-six million, ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 94513 189026 283539 378052 472565 567078 756104 850617 945130 1134156 1417695 1512208 1701234 1890260 2268312 2835390 3024416 3402468 3780520 4253085 4536624 5670780 6804936 7561040 8506170 9073248 11341560 13609872 15122080 17012340 22683120 27219744 34024680 45366240 68049360 136098720