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136083648 = 2634353311
BaseRepresentation
bin10000001110001…
…11100011000000
3100111001202200010
420013013203000
5234314134043
621300424520
73241456221
oct1007074300
9314052603
10136083648
116a8a7728
12396a8140
132226888c
1414105248
15be31133
hex81c78c0

136083648 has 112 divisors (see below), whose sum is σ = 376586496. Its totient is φ = 43330560.

The previous prime is 136083613. The next prime is 136083667. The reversal of 136083648 is 846380631.

It is a plaindrome 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, 437413 + ... + 437723.

Almost surely, 2136083648 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 136083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

136083648 is an abundant number, since it is smaller than the sum of its proper divisors (240502848).

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

136083648 is a wasteful number, since it uses less digits than its factorization.

136083648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 136083648 is about 11665.4896168142. The cubic root of 136083648 is about 514.3617291519.

The spelling of 136083648 in words is "one hundred thirty-six million, eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 64 86 96 106 129 159 172 192 212 258 311 318 344 424 516 622 636 688 848 933 1032 1244 1272 1376 1696 1866 2064 2279 2488 2544 2752 3392 3732 4128 4558 4976 5088 6837 7464 8256 9116 9952 10176 13373 13674 14928 16483 18232 19904 26746 27348 29856 32966 36464 40119 49449 53492 54696 59712 65932 72928 80238 98898 106984 109392 131864 145856 160476 197796 213968 218784 263728 320952 395592 427936 437568 527456 641904 708769 791184 855872 1054912 1283808 1417538 1582368 2126307 2567616 2835076 3164736 4252614 5670152 8505228 11340304 17010456 22680608 34020912 45361216 68041824 136083648