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136220728 = 23717219443
BaseRepresentation
bin10000001111010…
…01000000111000
3100111022201201011
420013221000320
5234333030403
621303403304
73242566660
oct1007510070
9314281634
10136220728
116a990716
1239753534
13222b60a7
141413d1a0
15be5ba6d
hex81e9038

136220728 has 96 divisors (see below), whose sum is σ = 327139200. Its totient is φ = 51936768.

The previous prime is 136220713. The next prime is 136220741. The reversal of 136220728 is 827022631.

It is a self number, because there is not a number n which added to its sum of digits gives 136220728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307275 + ... + 307717.

It is an arithmetic number, because the mean of its divisors is an integer number (3407700).

Almost surely, 2136220728 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 136220728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163569600).

136220728 is an abundant number, since it is smaller than the sum of its proper divisors (190918472).

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

136220728 is a wasteful number, since it uses less digits than its factorization.

136220728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 136220728 is about 11671.3635878590. The cubic root of 136220728 is about 514.5343804223.

The spelling of 136220728 in words is "one hundred thirty-six million, two hundred twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 289 323 443 476 532 578 646 886 952 1064 1156 1292 1772 2023 2261 2312 2584 3101 3544 4046 4522 5491 6202 7531 8092 8417 9044 10982 12404 15062 16184 16834 18088 21964 24808 30124 33668 38437 43928 52717 58919 60248 67336 76874 105434 117838 128027 143089 153748 210868 235676 256054 286178 307496 421736 471352 512108 572356 896189 1001623 1024216 1144712 1792378 2003246 2432513 3584756 4006492 4865026 7169512 8012984 9730052 17027591 19460104 34055182 68110364 136220728