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135575020 = 22579111063
BaseRepresentation
bin10000001010010…
…11010111101100
3100110002220222001
420011023113230
5234201400040
621241502044
73234240310
oct1005132754
9313086861
10135575020
116a58a579
12394a1924
132211b209
1414011b40
15bd8059a
hex814b5ec

135575020 has 48 divisors (see below), whose sum is σ = 326043648. Its totient is φ = 46388160.

The previous prime is 135575009. The next prime is 135575021. The reversal of 135575020 is 20575531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 135575020.

It is not an unprimeable number, because it can be changed into a prime (135575021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127009 + ... + 128071.

It is an arithmetic number, because the mean of its divisors is an integer number (6792576).

Almost surely, 2135575020 is an apocalyptic number.

135575020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135575020 is an abundant number, since it is smaller than the sum of its proper divisors (190468628).

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

135575020 is a wasteful number, since it uses less digits than its factorization.

135575020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 135575020 is about 11643.6686658458. The cubic root of 135575020 is about 513.7201007536.

The spelling of 135575020 in words is "one hundred thirty-five million, five hundred seventy-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 911 1063 1822 2126 3644 4252 4555 5315 6377 7441 9110 10630 12754 14882 18220 21260 25508 29764 31885 37205 63770 74410 127540 148820 968393 1936786 3873572 4841965 6778751 9683930 13557502 19367860 27115004 33893755 67787510 135575020