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136626100 = 225213105097
BaseRepresentation
bin10000010010010…
…11111110110100
3100112002022202221
420021023332310
5234434013400
621320212124
73246205552
oct1011137664
9315068687
10136626100
1170138236
123990a044
13223c8760
1414206bd2
15bedbc1a
hex824bfb4

136626100 has 36 divisors (see below), whose sum is σ = 319287724. Its totient is φ = 50446080.

The previous prime is 136626097. The next prime is 136626107. The reversal of 136626100 is 1626631.

136626100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 136562596 = 252^2 + 11686^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136626107) 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, 51249 + ... + 53848.

Almost surely, 2136626100 is an apocalyptic number.

136626100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136626100 is an abundant number, since it is smaller than the sum of its proper divisors (182661624).

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

136626100 is a wasteful number, since it uses less digits than its factorization.

136626100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105124 (or 105117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 136626100 is about 11688.7167815804. The cubic root of 136626100 is about 515.0442667828.

The spelling of 136626100 in words is "one hundred thirty-six million, six hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 105097 210194 420388 525485 1050970 1366261 2101940 2627425 2732522 5254850 5465044 6831305 10509700 13662610 27325220 34156525 68313050 136626100