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135833520 = 2435565973
BaseRepresentation
bin10000001100010…
…10011110110000
3100110121001120010
420012022132300
5234233133040
621251214520
73236365044
oct1006123660
9313531503
10135833520
116a746809
12395a7440
13221aba84
141407c024
15bdd1e80
hex818a7b0

135833520 has 40 divisors (see below), whose sum is σ = 421084656. Its totient is φ = 36222208.

The previous prime is 135833501. The next prime is 135833521. The reversal of 135833520 is 25338531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (135833521) by changing a digit.

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, 282747 + ... + 283226.

Almost surely, 2135833520 is an apocalyptic number.

135833520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135833520 is an abundant number, since it is smaller than the sum of its proper divisors (285251136).

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

135833520 is a wasteful number, since it uses less digits than its factorization.

135833520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565989 (or 565983 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 135833520 is about 11654.7638328711. The cubic root of 135833520 is about 514.0463957070.

The spelling of 135833520 in words is "one hundred thirty-five million, eight hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 565973 1131946 1697919 2263892 2829865 3395838 4527784 5659730 6791676 8489595 9055568 11319460 13583352 16979190 22638920 27166704 33958380 45277840 67916760 135833520