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136418490 = 23251328969
BaseRepresentation
bin10000010000110…
…01010010111010
3100111200202222200
420020121102322
5234410342430
621311531030
73244352355
oct1010312272
9314622880
10136418490
117000625a
1239829a76
1322355100
141419129c
15be9a460
hex82194ba

136418490 has 72 divisors (see below), whose sum is σ = 384113340. Its totient is φ = 33576192.

The previous prime is 136418479. The next prime is 136418533. The reversal of 136418490 is 94814631.

136418490 is a `hidden beast` number, since 1 + 3 + 641 + 8 + 4 + 9 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15000129 + 121418361 = 3873^2 + 11019^2 .

It is a super-2 number, since 2×1364184902 = 37220008827760200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10726 + ... + 19694.

Almost surely, 2136418490 is an apocalyptic number.

136418490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136418490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192056670).

136418490 is an abundant number, since it is smaller than the sum of its proper divisors (247694850).

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

136418490 is a wasteful number, since it uses less digits than its factorization.

136418490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136418490 is about 11679.8326186637. The cubic root of 136418490 is about 514.7832562659.

The spelling of 136418490 in words is "one hundred thirty-six million, four hundred eighteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 8969 15210 17938 26907 44845 53814 80721 89690 116597 134535 161442 233194 269070 349791 403605 582985 699582 807210 1049373 1165970 1515761 1748955 2098746 3031522 3497910 4547283 5246865 7578805 9094566 10493730 13641849 15157610 22736415 27283698 45472830 68209245 136418490