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135823320 = 23325377287
BaseRepresentation
bin10000001100001…
…11111111011000
3100110120112120100
420012013333120
5234232321240
621251055400
73236323233
oct1006077730
9313515510
10135823320
116a73a086
12395a1560
13221a7239
141407841a
15bdcde30
hex8187fd8

135823320 has 48 divisors (see below), whose sum is σ = 441426960. Its totient is φ = 36219456.

The previous prime is 135823313. The next prime is 135823321. The reversal of 135823320 is 23328531.

135823320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135823321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188284 + ... + 189003.

It is an arithmetic number, because the mean of its divisors is an integer number (9196395).

Almost surely, 2135823320 is an apocalyptic number.

135823320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135823320 is an abundant number, since it is smaller than the sum of its proper divisors (305603640).

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

135823320 is a wasteful number, since it uses less digits than its factorization.

135823320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377304 (or 377297 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135823320 is about 11654.3262353514. The cubic root of 135823320 is about 514.0335284745.

The spelling of 135823320 in words is "one hundred thirty-five million, eight hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 377287 754574 1131861 1509148 1886435 2263722 3018296 3395583 3772870 4527444 5659305 6791166 7545740 9054888 11318610 13582332 15091480 16977915 22637220 27164664 33955830 45274440 67911660 135823320