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136856040 = 233510910463
BaseRepresentation
bin10000010100001…
…00000111101000
3100112112000012020
420022010013220
5240013343130
621325144440
73251154126
oct1012040750
9315460166
10136856040
1170284a72
12399bb120
1322479309
1414266916
15c034e10
hex82841e8

136856040 has 64 divisors (see below), whose sum is σ = 414374400. Its totient is φ = 36156672.

The previous prime is 136856023. The next prime is 136856051. The reversal of 136856040 is 40658631.

It is a junction number, because it is equal to n+sod(n) for n = 136855992 and 136856010.

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, 7849 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (6474600).

Almost surely, 2136856040 is an apocalyptic number.

136856040 is a gapful number since it is divisible by the number (10) 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 136856040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207187200).

136856040 is an abundant number, since it is smaller than the sum of its proper divisors (277518360).

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

136856040 is a wasteful number, since it uses less digits than its factorization.

136856040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 136856040 is about 11698.5486279282. The cubic root of 136856040 is about 515.3330425058. Note that the first 3 decimals are identical.

The spelling of 136856040 in words is "one hundred thirty-six million, eight hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 10463 13080 20926 31389 41852 52315 62778 83704 104630 125556 156945 209260 251112 313890 418520 627780 1140467 1255560 2280934 3421401 4561868 5702335 6842802 9123736 11404670 13685604 17107005 22809340 27371208 34214010 45618680 68428020 136856040