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136606336 = 2731173199
BaseRepresentation
bin10000010010001…
…11001010000000
3100112001022122221
420021013022000
5234432400321
621315540424
73246064126
oct1011071200
9315038587
10136606336
11701243a9
12398ba714
13223bc769
14141dd916
15bed5e41
hex8247280

136606336 has 64 divisors (see below), whose sum is σ = 283968000. Its totient is φ = 65387520.

The previous prime is 136606307. The next prime is 136606357. The reversal of 136606336 is 633606631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1366063362 = 37322582070689792, which contains 22 as substring.

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, 686365 + ... + 686563.

It is an arithmetic number, because the mean of its divisors is an integer number (4437000).

Almost surely, 2136606336 is an apocalyptic number.

136606336 is a gapful number since it is divisible by the number (16) 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 136606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141984000).

136606336 is an abundant number, since it is smaller than the sum of its proper divisors (147361664).

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

136606336 is a wasteful number, since it uses less digits than its factorization.

136606336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 34.

The square root of 136606336 is about 11687.8713203047. The cubic root of 136606336 is about 515.0194305674.

The spelling of 136606336 in words is "one hundred thirty-six million, six hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 173 199 248 346 398 496 692 796 992 1384 1592 1984 2768 3184 3968 5363 5536 6169 6368 10726 11072 12338 12736 21452 22144 24676 25472 34427 42904 49352 68854 85808 98704 137708 171616 197408 275416 343232 394816 550832 686464 789632 1067237 1101664 2134474 2203328 4268948 4406656 8537896 17075792 34151584 68303168 136606336