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135893010 = 235112391723
BaseRepresentation
bin10000001100110…
…01000000010010
3100110201002011110
420012121000102
5234242034020
621252354150
73240033351
oct1006310022
9313632143
10135893010
116a787480
1239615956
13221ccb86
1414095998
15bde48e0
hex8199012

135893010 has 64 divisors (see below), whose sum is σ = 357488640. Its totient is φ = 32786880.

The previous prime is 135892987. The next prime is 135893011. The reversal of 135893010 is 10398531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (135893011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78009 + ... + 79731.

It is an arithmetic number, because the mean of its divisors is an integer number (5585760).

Almost surely, 2135893010 is an apocalyptic number.

135893010 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 135893010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178744320).

135893010 is an abundant number, since it is smaller than the sum of its proper divisors (221595630).

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

135893010 is a wasteful number, since it uses less digits than its factorization.

135893010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 135893010 is about 11657.3157287602. The cubic root of 135893010 is about 514.1214291175.

The spelling of 135893010 in words is "one hundred thirty-five million, eight hundred ninety-three thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 239 330 478 717 1195 1434 1723 2390 2629 3446 3585 5169 5258 7170 7887 8615 10338 13145 15774 17230 18953 25845 26290 37906 39435 51690 56859 78870 94765 113718 189530 284295 411797 568590 823594 1235391 2058985 2470782 4117970 4529767 6176955 9059534 12353910 13589301 22648835 27178602 45297670 67946505 135893010