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135123930 = 2335500459
BaseRepresentation
bin10000000110111…
…01001111011010
3100102021000012000
420003131033122
5234042431210
621224101430
73230351214
oct1003351732
9312230160
10135123930
116a301677
1239304876
1321cc0ab6
1413d355b4
15bce1ac0
hex80dd3da

135123930 has 32 divisors (see below), whose sum is σ = 360331200. Its totient is φ = 36032976.

The previous prime is 135123913. The next prime is 135123943. The reversal of 135123930 is 39321531.

It is a happy number.

135123930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 135123894 and 135123903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249960 + ... + 250499.

It is an arithmetic number, because the mean of its divisors is an integer number (11260350).

Almost surely, 2135123930 is an apocalyptic number.

135123930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135123930 is an abundant number, since it is smaller than the sum of its proper divisors (225207270).

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

135123930 is a wasteful number, since it uses less digits than its factorization.

135123930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500475 (or 500469 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 135123930 is about 11624.2819133054. The cubic root of 135123930 is about 513.1497117848.

It can be divided in two parts, 1351 and 23930, that added together give a square (25281 = 1592).

The spelling of 135123930 in words is "one hundred thirty-five million, one hundred twenty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 500459 1000918 1501377 2502295 3002754 4504131 5004590 7506885 9008262 13512393 15013770 22520655 27024786 45041310 67561965 135123930