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135960384 = 2637101161
BaseRepresentation
bin10000001101010…
…01011101000000
3100110211111120210
420012221131000
5234301213014
621254034120
73240433650
oct1006513500
9313744523
10135960384
116a82305a
1239648940
1322224741
14140b2360
15be09859
hex81a9740

135960384 has 56 divisors (see below), whose sum is σ = 411122368. Its totient is φ = 38845440.

The previous prime is 135960359. The next prime is 135960427. The reversal of 135960384 is 483069531.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49237 + ... + 51924.

Almost surely, 2135960384 is an apocalyptic number.

135960384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135960384 is an abundant number, since it is smaller than the sum of its proper divisors (275161984).

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

135960384 is a wasteful number, since it uses less digits than its factorization.

135960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101183 (or 101173 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 135960384 is about 11660.2051439930. The cubic root of 135960384 is about 514.2063800023.

The spelling of 135960384 in words is "one hundred thirty-five million, nine hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 101161 202322 303483 404644 606966 708127 809288 1213932 1416254 1618576 2124381 2427864 2832508 3237152 4248762 4855728 5665016 6474304 8497524 9711456 11330032 16995048 19422912 22660064 33990096 45320128 67980192 135960384