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134931390 = 23511616703
BaseRepresentation
bin10000000101011…
…10001110111110
3100101220020001220
420002232032332
5234020301030
621220014210
73225616656
oct1002561676
9311806056
10134931390
116a18aa50
1239231366
1321c54279
1413cc5366
15bca4a10
hex80ae3be

134931390 has 64 divisors (see below), whose sum is σ = 359119872. Its totient is φ = 32169600.

The previous prime is 134931383. The next prime is 134931413. The reversal of 134931390 is 93139431.

134931390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1349313903 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16779 + ... + 23481.

It is an arithmetic number, because the mean of its divisors is an integer number (5611248).

Almost surely, 2134931390 is an apocalyptic number.

134931390 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 134931390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179559936).

134931390 is an abundant number, since it is smaller than the sum of its proper divisors (224188482).

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

134931390 is a wasteful number, since it uses less digits than its factorization.

134931390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 134931390 is about 11615.9971590906. The cubic root of 134931390 is about 512.9058644990.

The spelling of 134931390 in words is "one hundred thirty-four million, nine hundred thirty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 915 1342 1830 2013 3355 4026 6703 6710 10065 13406 20109 20130 33515 40218 67030 73733 100545 147466 201090 221199 368665 408883 442398 737330 817766 1105995 1226649 2044415 2211990 2453298 4088830 4497713 6133245 8995426 12266490 13493139 22488565 26986278 44977130 67465695 134931390