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136505104 = 2417253557
BaseRepresentation
bin10000010001011…
…10011100010000
3100111212011210121
420020232130100
5234421130404
621313440024
73245163031
oct1010563420
9314764717
10136505104
117006533a
1239870014
1322385668
14141b4a88
15beb5e54
hex822e710

136505104 has 60 divisors (see below), whose sum is σ = 286766244. Its totient is φ = 62912512.

The previous prime is 136505081. The next prime is 136505119. The reversal of 136505104 is 401505631.

It can be written as a sum of positive squares in 6 ways, for example, as 3794704 + 132710400 = 1948^2 + 11520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244794 + ... + 245350.

Almost surely, 2136505104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136505104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143383122).

136505104 is an abundant number, since it is smaller than the sum of its proper divisors (150261140).

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

136505104 is a wasteful number, since it uses less digits than its factorization.

136505104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 136505104 is about 11683.5398745414. The cubic root of 136505104 is about 514.8921809039.

The spelling of 136505104 in words is "one hundred thirty-six million, five hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 289 424 557 578 848 901 1114 1156 1802 2228 2312 3604 4456 4624 7208 8912 9469 14416 15317 18938 29521 30634 37876 59042 61268 75752 118084 122536 151504 160973 236168 245072 321946 472336 501857 643892 1003714 1287784 2007428 2575568 4014856 8029712 8531569 17063138 34126276 68252552 136505104