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135756048 = 2434496299
BaseRepresentation
bin10000001011101…
…11100100010000
3100110110010021210
420011313210100
5234223143143
621245420120
73235623141
oct1005674420
9313403253
10135756048
116a6a358a
123956a640
132218272c
141405bac8
15bdb9033
hex8177910

135756048 has 40 divisors (see below), whose sum is σ = 351540000. Its totient is φ = 45144064.

The previous prime is 135756029. The next prime is 135756079. The reversal of 135756048 is 840657531.

It is a junction number, because it is equal to n+sod(n) for n = 135755997 and 135756015.

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, 18403 + ... + 24701.

It is an arithmetic number, because the mean of its divisors is an integer number (8788500).

Almost surely, 2135756048 is an apocalyptic number.

It is an amenable number.

135756048 is an abundant number, since it is smaller than the sum of its proper divisors (215783952).

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

135756048 is a wasteful number, since it uses less digits than its factorization.

135756048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 135756048 is about 11651.4397393627. The cubic root of 135756048 is about 513.9486491519.

The spelling of 135756048 in words is "one hundred thirty-five million, seven hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 449 898 1347 1796 2694 3592 5388 6299 7184 10776 12598 18897 21552 25196 37794 50392 75588 100784 151176 302352 2828251 5656502 8484753 11313004 16969506 22626008 33939012 45252016 67878024 135756048