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135297920 = 275211403
BaseRepresentation
bin10000001000001…
…11101110000000
3100102120211212002
420010013232000
5234114013140
621231523132
73232004402
oct1004075600
9312524762
10135297920
116a41036a
12393894a8
1322052054
1413d7cb72
15bd28415
hex8107b80

135297920 has 32 divisors (see below), whose sum is σ = 323448120. Its totient is φ = 54118912.

The previous prime is 135297893. The next prime is 135297931. The reversal of 135297920 is 29792531.

135297920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105062 + ... + 106341.

Almost surely, 2135297920 is an apocalyptic number.

135297920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135297920 is an abundant number, since it is smaller than the sum of its proper divisors (188150200).

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

135297920 is an equidigital number, since it uses as much as digits as its factorization.

135297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211422 (or 211410 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 135297920 is about 11631.7634088731. The cubic root of 135297920 is about 513.3698667801.

The spelling of 135297920 in words is "one hundred thirty-five million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 211403 422806 845612 1057015 1691224 2114030 3382448 4228060 6764896 8456120 13529792 16912240 27059584 33824480 67648960 135297920