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136591104 = 2831313681
BaseRepresentation
bin10000010010000…
…11011100000000
3100112000112202210
420021003130000
5234431403404
621315342120
73246001536
oct1011033400
9315015683
10136591104
1170113a11
12398b1940
13223b5850
14141d8156
15bed1689
hex8243700

136591104 has 72 divisors (see below), whose sum is σ = 391524112. Its totient is φ = 42024960.

The previous prime is 136591093. The next prime is 136591111. The reversal of 136591104 is 401195631.

It is a super-3 number, since 3×1365911043 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3144 + ... + 16824.

Almost surely, 2136591104 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 136591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195762056).

136591104 is an abundant number, since it is smaller than the sum of its proper divisors (254933008).

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

136591104 is a wasteful number, since it uses less digits than its factorization.

136591104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713 (or 13699 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 136591104 is about 11687.2196864780. The cubic root of 136591104 is about 515.0002878058. Note that the first 3 decimals are identical.

The spelling of 136591104 in words is "one hundred thirty-six million, five hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 13681 27362 41043 54724 82086 109448 164172 177853 218896 328344 355706 437792 533559 656688 711412 875584 1067118 1313376 1422824 1751168 2134236 2626752 2845648 3502336 4268472 5253504 5691296 8536944 10507008 11382592 17073888 22765184 34147776 45530368 68295552 136591104