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135893988 = 223217233953
BaseRepresentation
bin10000001100110…
…01001111100100
3100110201010111200
420012121033210
5234242101423
621252402500
73240036246
oct1006311744
9313633450
10135893988
116a78818a
1239616430
1322200459
1414096096
15bde4d43
hex81993e4

135893988 has 72 divisors (see below), whose sum is σ = 365660568. Its totient is φ = 42405888.

The previous prime is 135893981. The next prime is 135894037. The reversal of 135893988 is 889398531.

It can be written as a sum of positive squares in 4 ways, for example, as 15069924 + 120824064 = 3882^2 + 10992^2 .

It is not an unprimeable number, because it can be changed into a prime (135893981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142120 + ... + 143072.

It is an arithmetic number, because the mean of its divisors is an integer number (5078619).

Almost surely, 2135893988 is an apocalyptic number.

135893988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135893988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182830284).

135893988 is an abundant number, since it is smaller than the sum of its proper divisors (229766580).

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

135893988 is a wasteful number, since it uses less digits than its factorization.

135893988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 135893988 is about 11657.3576765921. The cubic root of 135893988 is about 514.1226624641.

The spelling of 135893988 in words is "one hundred thirty-five million, eight hundred ninety-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 233 306 466 612 699 932 953 1398 1906 2097 2796 2859 3812 3961 4194 5718 7922 8388 8577 11436 11883 15844 16201 17154 23766 32402 34308 35649 47532 48603 64804 71298 97206 142596 145809 194412 222049 291618 444098 583236 666147 888196 1332294 1998441 2664588 3774833 3996882 7549666 7993764 11324499 15099332 22648998 33973497 45297996 67946994 135893988