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135114984 = 23321876597
BaseRepresentation
bin10000000110110…
…11000011101000
3100102020112220200
420003123003220
5234042134414
621223552200
73230313144
oct1003330350
9312215820
10135114984
116a2a5984
12392bb660
1321cb99c4
1413d32224
15bcde109
hex80db0e8

135114984 has 24 divisors (see below), whose sum is σ = 365936610. Its totient is φ = 45038304.

The previous prime is 135114977. The next prime is 135115003. The reversal of 135114984 is 489411531.

It can be written as a sum of positive squares in only one way, i.e., 135070884 + 44100 = 11622^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 938227 + ... + 938370.

Almost surely, 2135114984 is an apocalyptic number.

It is an amenable number.

135114984 is an abundant number, since it is smaller than the sum of its proper divisors (230821626).

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

135114984 is a wasteful number, since it uses less digits than its factorization.

135114984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876609 (or 1876602 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 135114984 is about 11623.8971089734. The cubic root of 135114984 is about 513.1383870238.

The spelling of 135114984 in words is "one hundred thirty-five million, one hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1876597 3753194 5629791 7506388 11259582 15012776 16889373 22519164 33778746 45038328 67557492 135114984