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136964600 = 23524116703
BaseRepresentation
bin10000010100111…
…10100111111000
3100112201112002222
420022132213320
5240030331400
621331343212
73252115463
oct1012364770
9315645088
10136964600
1170349593
1239a51b08
13224b6856
14142942da
15c057185
hex829e9f8

136964600 has 48 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 53446400.

The previous prime is 136964579. The next prime is 136964657. The reversal of 136964600 is 6469631.

136964600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 152 + ... + 16551.

It is an arithmetic number, because the mean of its divisors is an integer number (6796440).

Almost surely, 2136964600 is an apocalyptic number.

136964600 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 136964600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

136964600 is an abundant number, since it is smaller than the sum of its proper divisors (189264520).

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

136964600 is a wasteful number, since it uses less digits than its factorization.

136964600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16760 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 136964600 is about 11703.1875999661. The cubic root of 136964600 is about 515.4692678150.

The spelling of 136964600 in words is "one hundred thirty-six million, nine hundred sixty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 16703 33406 66812 83515 133624 167030 334060 417575 668120 684823 835150 1369646 1670300 2739292 3340600 3424115 5478584 6848230 13696460 17120575 27392920 34241150 68482300 136964600