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135708360 = 23354127583
BaseRepresentation
bin10000001011010…
…11111011001000
3100110100200212120
420011223323020
5234220131420
621244411240
73235334124
oct1005537310
9313320776
10135708360
116a670777
1239546b20
1322166b08
1414048584
15bda9d40
hex816bec8

135708360 has 64 divisors (see below), whose sum is σ = 417070080. Its totient is φ = 35304960.

The previous prime is 135708343. The next prime is 135708383. The reversal of 135708360 is 63807531.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8872 + ... + 18711.

It is an arithmetic number, because the mean of its divisors is an integer number (6516720).

Almost surely, 2135708360 is an apocalyptic number.

135708360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135708360 is an abundant number, since it is smaller than the sum of its proper divisors (281361720).

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

135708360 is a wasteful number, since it uses less digits than its factorization.

135708360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27638 (or 27634 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 135708360 is about 11649.3931172401. The cubic root of 135708360 is about 513.8884626288. Note that the first 3 decimals are identical.

The spelling of 135708360 in words is "one hundred thirty-five million, seven hundred eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 27583 55166 82749 110332 137915 165498 220664 275830 330996 413745 551660 661992 827490 1103320 1130903 1654980 2261806 3309960 3392709 4523612 5654515 6785418 9047224 11309030 13570836 16963545 22618060 27141672 33927090 45236120 67854180 135708360