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136805340 = 223573071061
BaseRepresentation
bin10000010011101…
…11101111011100
3100112102102122110
420021313233130
5240010232330
621324114020
73250553250
oct1011675734
9315372573
10136805340
117024a971
1239995910
132245c209
1414252260
15c024db0
hex8277bdc

136805340 has 96 divisors (see below), whose sum is σ = 439617024. Its totient is φ = 31138560.

The previous prime is 136805299. The next prime is 136805351. The reversal of 136805340 is 43508631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 136805298 and 136805307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128410 + ... + 129470.

It is an arithmetic number, because the mean of its divisors is an integer number (4579344).

Almost surely, 2136805340 is an apocalyptic number.

136805340 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 136805340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219808512).

136805340 is an abundant number, since it is smaller than the sum of its proper divisors (302811684).

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

136805340 is a wasteful number, since it uses less digits than its factorization.

136805340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 136805340 is about 11696.3814917264. The cubic root of 136805340 is about 515.2693974953.

The spelling of 136805340 in words is "one hundred thirty-six million, eight hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 307 420 614 921 1061 1228 1535 1842 2122 2149 3070 3183 3684 4244 4298 4605 5305 6140 6366 6447 7427 8596 9210 10610 10745 12732 12894 14854 15915 18420 21220 21490 22281 25788 29708 31830 32235 37135 42980 44562 63660 64470 74270 89124 111405 128940 148540 222810 325727 445620 651454 977181 1302908 1628635 1954362 2280089 3257270 3908724 4560178 4885905 6514540 6840267 9120356 9771810 11400445 13680534 19543620 22800890 27361068 34201335 45601780 68402670 136805340