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136387104 = 2537316547
BaseRepresentation
bin10000010000100…
…01101000100000
3100111122011221020
420020101220200
5234403341404
621311125440
73244162020
oct1010215040
9314564836
10136387104
116aa94717
1239813880
1322343a39
1414183a80
15be90ed9
hex8211a20

136387104 has 96 divisors (see below), whose sum is σ = 422424576. Its totient is φ = 37704960.

The previous prime is 136387103. The next prime is 136387123. The reversal of 136387104 is 401783631.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (136387103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17559 + ... + 24105.

It is an arithmetic number, because the mean of its divisors is an integer number (4400256).

Almost surely, 2136387104 is an apocalyptic number.

136387104 is a gapful number since it is divisible by the number (14) 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 136387104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211212288).

136387104 is an abundant number, since it is smaller than the sum of its proper divisors (286037472).

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

136387104 is a wasteful number, since it uses less digits than its factorization.

136387104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 136387104 is about 11678.4889433522. The cubic root of 136387104 is about 514.7437742609.

The spelling of 136387104 in words is "one hundred thirty-six million, three hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6547 6944 10416 13094 19641 20832 26188 39282 45829 52376 78564 91658 104752 137487 157128 183316 202957 209504 274974 314256 366632 405914 549948 608871 628512 733264 811828 1099896 1217742 1420699 1466528 1623656 2199792 2435484 2841398 3247312 4262097 4399584 4870968 5682796 6494624 8524194 9741936 11365592 17048388 19483872 22731184 34096776 45462368 68193552 136387104