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136012464 = 24327592287
BaseRepresentation
bin10000001101101…
…10001010110000
3100110221011000200
420012312022300
5234304344324
621255115200
73241041540
oct1006661260
9313834020
10136012464
116a8591a5
1239672b00
1322242363
14140c7320
15be19ec9
hex81b62b0

136012464 has 120 divisors (see below), whose sum is σ = 442590720. Its totient is φ = 38185344.

The previous prime is 136012463. The next prime is 136012517. The reversal of 136012464 is 464210631.

136012464 is a `hidden beast` number, since 13 + 601 + 2 + 46 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (136012463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58329 + ... + 60615.

It is an arithmetic number, because the mean of its divisors is an integer number (3688256).

Almost surely, 2136012464 is an apocalyptic number.

136012464 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 136012464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221295360).

136012464 is an abundant number, since it is smaller than the sum of its proper divisors (306578256).

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

136012464 is a wasteful number, since it uses less digits than its factorization.

136012464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 136012464 is about 11662.4381670387. The cubic root of 136012464 is about 514.2720276781.

It can be divided in two parts, 1360 and 12464, that added together give a cube (13824 = 243).

The spelling of 136012464 in words is "one hundred thirty-six million, twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2287 2478 2832 3304 3717 4248 4574 4956 6608 6861 7434 8496 9148 9912 13722 14868 16009 18296 19824 20583 27444 29736 32018 36592 41166 48027 54888 59472 64036 82332 96054 109776 128072 134933 144081 164664 192108 256144 269866 288162 329328 384216 404799 539732 576324 768432 809598 944531 1079464 1152648 1214397 1619196 1889062 2158928 2305296 2428794 2833593 3238392 3778124 4857588 5667186 6476784 7556248 8500779 9715176 11334372 15112496 17001558 19430352 22668744 34003116 45337488 68006232 136012464