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135604720 = 24510915551
BaseRepresentation
bin10000001010100…
…10100111110000
3100110011102201001
420011102213300
5234203322340
621242251344
73234423016
oct1005224760
9313142631
10135604720
116a5aa919
12394b6b54
132212b8a4
141401c8b6
15bd8929a
hex81529f0

135604720 has 40 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 53740800.

The previous prime is 135604709. The next prime is 135604759. The reversal of 135604720 is 27406531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945 + ... + 16495.

It is an arithmetic number, because the mean of its divisors is an integer number (7954848).

Almost surely, 2135604720 is an apocalyptic number.

135604720 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 135604720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

135604720 is an abundant number, since it is smaller than the sum of its proper divisors (182589200).

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

135604720 is a wasteful number, since it uses less digits than its factorization.

135604720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15667 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 135604720 is about 11644.9439672332. The cubic root of 135604720 is about 513.7576110388.

The spelling of 135604720 in words is "one hundred thirty-five million, six hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 15551 31102 62204 77755 124408 155510 248816 311020 622040 1244080 1695059 3390118 6780236 8475295 13560472 16950590 27120944 33901180 67802360 135604720