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135087828 = 22320395521
BaseRepresentation
bin10000000110101…
…00011011010100
3100102012011122220
420003110123110
5234040302303
621223222340
73230141031
oct1003243324
9312164586
10135087828
116a287537
12392a79b0
1321caa535
1413d26388
15bcd6053
hex80d46d4

135087828 has 24 divisors (see below), whose sum is σ = 315416640. Its totient is φ = 44999040.

The previous prime is 135087791. The next prime is 135087833. The reversal of 135087828 is 828780531.

It is a happy number.

135087828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135087828.

It is a congruent number.

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, 21708 + ... + 27228.

It is an arithmetic number, because the mean of its divisors is an integer number (13142360).

Almost surely, 2135087828 is an apocalyptic number.

It is an amenable number.

135087828 is an abundant number, since it is smaller than the sum of its proper divisors (180328812).

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

135087828 is a wasteful number, since it uses less digits than its factorization.

135087828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 135087828 is about 11622.7289394531. The cubic root of 135087828 is about 513.1040071219.

The spelling of 135087828 in words is "one hundred thirty-five million, eighty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 2039 4078 5521 6117 8156 11042 12234 16563 22084 24468 33126 66252 11257319 22514638 33771957 45029276 67543914 135087828