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135305859 = 31319182599
BaseRepresentation
bin10000001000010…
…01101010000011
3100102121020202010
420010021222003
5234114241414
621232024003
73232036503
oct1004115203
9312536663
10135305859
116a416327
1239392003
1322055850
1413d81a03
15bd2a959
hex8109a83

135305859 has 16 divisors (see below), whose sum is σ = 204512000. Its totient is φ = 78882336.

The previous prime is 135305843. The next prime is 135305867. The reversal of 135305859 is 958503531.

It is a happy number.

It is not a de Polignac number, because 135305859 - 24 = 135305843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135305059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90559 + ... + 92040.

It is an arithmetic number, because the mean of its divisors is an integer number (12782000).

Almost surely, 2135305859 is an apocalyptic number.

135305859 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

135305859 is a deficient number, since it is larger than the sum of its proper divisors (69206141).

135305859 is a wasteful number, since it uses less digits than its factorization.

135305859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182634.

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 135305859 is about 11632.1046676859. The cubic root of 135305859 is about 513.3799077417.

The spelling of 135305859 in words is "one hundred thirty-five million, three hundred five thousand, eight hundred fifty-nine".

Divisors: 1 3 13 19 39 57 247 741 182599 547797 2373787 3469381 7121361 10408143 45101953 135305859