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135893648 = 24112174129
BaseRepresentation
bin10000001100110…
…01001010010000
3100110201010001002
420012121022100
5234242044043
621252401132
73240035252
oct1006311220
9313633032
10135893648
116a787a00
12396161a8
1322200257
1414095cd2
15bde4bb8
hex8199290

135893648 has 60 divisors (see below), whose sum is σ = 306503820. Its totient is φ = 58122240.

The previous prime is 135893629. The next prime is 135893671. The reversal of 135893648 is 846398531.

It can be written as a sum of positive squares in 2 ways, for example, as 91164304 + 44729344 = 9548^2 + 6688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30848 + ... + 34976.

It is an arithmetic number, because the mean of its divisors is an integer number (5108397).

Almost surely, 2135893648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135893648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153251910).

135893648 is an abundant number, since it is smaller than the sum of its proper divisors (170610172).

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

135893648 is a wasteful number, since it uses less digits than its factorization.

135893648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4159 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 135893648 is about 11657.3430935184. The cubic root of 135893648 is about 514.1222336940.

The spelling of 135893648 in words is "one hundred thirty-five million, eight hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1496 1936 2057 2992 4114 4129 8228 8258 16456 16516 32912 33032 45419 66064 70193 90838 140386 181676 280772 363352 499609 561544 726704 772123 999218 1123088 1544246 1998436 3088492 3996872 6176984 7993744 8493353 12353968 16986706 33973412 67946824 135893648