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136634016 = 25319173433
BaseRepresentation
bin10000010010011…
…01111010100000
3100112002201122010
420021031322200
5234434242031
621320312520
73246240621
oct1011157240
9315081563
10136634016
1170143182
1239912740
13223cc23c
1414209a48
15bede246
hex824dea0

136634016 has 96 divisors (see below), whose sum is σ = 380600640. Its totient is φ = 42799104.

The previous prime is 136633999. The next prime is 136634021. The reversal of 136634016 is 610436631.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 315336 + ... + 315768.

It is an arithmetic number, because the mean of its divisors is an integer number (3964590).

Almost surely, 2136634016 is an apocalyptic number.

136634016 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 136634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190300320).

136634016 is an abundant number, since it is smaller than the sum of its proper divisors (243966624).

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

136634016 is a wasteful number, since it uses less digits than its factorization.

136634016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 136634016 is about 11689.0553938289. The cubic root of 136634016 is about 515.0542136663.

The spelling of 136634016 in words is "one hundred thirty-six million, six hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 173 228 304 346 433 456 519 608 692 866 912 1038 1299 1384 1732 1824 2076 2598 2768 3287 3464 4152 5196 5536 6574 6928 8227 8304 9861 10392 13148 13856 16454 16608 19722 20784 24681 26296 32908 39444 41568 49362 52592 65816 74909 78888 98724 105184 131632 149818 157776 197448 224727 263264 299636 315552 394896 449454 599272 789792 898908 1198544 1423271 1797816 2397088 2846542 3595632 4269813 5693084 7191264 8539626 11386168 17079252 22772336 34158504 45544672 68317008 136634016