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135910710 = 23451312907
BaseRepresentation
bin10000001100111…
…01010100110110
3100110201222110000
420012131110312
5234243120320
621253012130
73240136065
oct1006352466
9313658400
10135910710
116a799801
1239624046
1322207c50
141409c1dc
15bde9c90
hex819d536

135910710 has 80 divisors (see below), whose sum is σ = 393590736. Its totient is φ = 33452352.

The previous prime is 135910693. The next prime is 135910769. The reversal of 135910710 is 17019531.

It is a happy number.

135910710 is a `hidden beast` number, since 1 + 3 + 591 + 0 + 71 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4077 + ... + 16983.

Almost surely, 2135910710 is an apocalyptic number.

135910710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135910710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196795368).

135910710 is an abundant number, since it is smaller than the sum of its proper divisors (257680026).

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

135910710 is a wasteful number, since it uses less digits than its factorization.

135910710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12939 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 135910710 is about 11658.0748839592. The cubic root of 135910710 is about 514.1437495058.

The spelling of 135910710 in words is "one hundred thirty-five million, nine hundred ten thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 12907 25814 38721 64535 77442 116163 129070 167791 193605 232326 335582 348489 387210 503373 580815 696978 838955 1006746 1045467 1161630 1510119 1677910 1742445 2090934 2516865 3020238 3484890 4530357 5033730 5227335 7550595 9060714 10454670 13591071 15101190 22651785 27182142 45303570 67955355 135910710