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136350312 = 23373132593
BaseRepresentation
bin10000010000010…
…00101001101000
3100111120022110120
420020020221220
5234401202222
621310243240
73243646530
oct1010105150
9314508416
10136350312
116aa6a00a
12397b6520
1322330077
14141744c0
15be8515c
hex8208a68

136350312 has 64 divisors (see below), whose sum is σ = 390967680. Its totient is φ = 38817792.

The previous prime is 136350299. The next prime is 136350341. The reversal of 136350312 is 213053631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51288 + ... + 53880.

It is an arithmetic number, because the mean of its divisors is an integer number (6108870).

Almost surely, 2136350312 is an apocalyptic number.

136350312 is a gapful number since it is divisible by the number (12) 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 136350312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195483840).

136350312 is an abundant number, since it is smaller than the sum of its proper divisors (254617368).

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

136350312 is a wasteful number, since it uses less digits than its factorization.

136350312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 136350312 is about 11676.9136333194. The cubic root of 136350312 is about 514.6974840678.

The spelling of 136350312 in words is "one hundred thirty-six million, three hundred fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 313 626 939 1252 1878 2191 2504 2593 3756 4382 5186 6573 7512 7779 8764 10372 13146 15558 17528 18151 20744 26292 31116 36302 52584 54453 62232 72604 108906 145208 217812 435624 811609 1623218 2434827 3246436 4869654 5681263 6492872 9739308 11362526 17043789 19478616 22725052 34087578 45450104 68175156 136350312