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136385024 = 29417389
BaseRepresentation
bin10000010000100…
…01001000000000
3100111122002002012
420020101020000
5234403310044
621311112052
73244152656
oct1010211000
9314562065
10136385024
116aa930a6
1239812628
1322342ac9
1414182dd6
15be9059e
hex8211200

136385024 has 80 divisors (see below), whose sum is σ = 286153560. Its totient is φ = 64880640.

The previous prime is 136385003. The next prime is 136385083. The reversal of 136385024 is 420583631.

It can be written as a sum of positive squares in 4 ways, for example, as 65286400 + 71098624 = 8080^2 + 8432^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1532372 + ... + 1532460.

Almost surely, 2136385024 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 136385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143076780).

136385024 is an abundant number, since it is smaller than the sum of its proper divisors (149768536).

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

136385024 is an frugal number, since it uses more digits than its factorization.

136385024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 136385024 is about 11678.3998903959. The cubic root of 136385024 is about 514.7411575118.

The spelling of 136385024 in words is "one hundred thirty-six million, three hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 64 73 82 89 128 146 164 178 256 292 328 356 512 584 656 712 1168 1312 1424 2336 2624 2848 2993 3649 4672 5248 5696 5986 6497 7298 9344 10496 11392 11972 12994 14596 18688 20992 22784 23944 25988 29192 37376 45568 47888 51976 58384 95776 103952 116768 191552 207904 233536 266377 383104 415808 467072 532754 766208 831616 934144 1065508 1532416 1663232 1868288 2131016 3326464 4262032 8524064 17048128 34096256 68192512 136385024