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135690680 = 2357514517
BaseRepresentation
bin10000001011001…
…11100110111000
3100110022210121202
420011213212320
5234214100210
621244153332
73235231436
oct1005474670
9313283552
10135690680
116a659464
1239538848
132215ba58
1414041d56
15bda49a5
hex81679b8

135690680 has 32 divisors (see below), whose sum is σ = 305778240. Its totient is φ = 54192000.

The previous prime is 135690679. The next prime is 135690697. The reversal of 135690680 is 86096531.

135690680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 27782 + ... + 32298.

It is an arithmetic number, because the mean of its divisors is an integer number (9555570).

Almost surely, 2135690680 is an apocalyptic number.

135690680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135690680 is an abundant number, since it is smaller than the sum of its proper divisors (170087560).

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

135690680 is a wasteful number, since it uses less digits than its factorization.

135690680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5275 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 135690680 is about 11648.6342547099. The cubic root of 135690680 is about 513.8661453041.

The spelling of 135690680 in words is "one hundred thirty-five million, six hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 751 1502 3004 3755 4517 6008 7510 9034 15020 18068 22585 30040 36136 45170 90340 180680 3392267 6784534 13569068 16961335 27138136 33922670 67845340 135690680