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135835350 = 23527218481
BaseRepresentation
bin10000001100010…
…10111011010110
3100110121011001220
420012022323112
5234233212400
621251231210
73236403300
oct1006127326
9313534056
10135835350
116a748122
12395a8506
13221ac861
141407c970
15bdd27a0
hex818aed6

135835350 has 72 divisors (see below), whose sum is σ = 391892328. Its totient is φ = 31046400.

The previous prime is 135835339. The next prime is 135835361. The reversal of 135835350 is 53538531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135835339) and next prime (135835361).

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 35 ways as a sum of consecutive naturals, for example, 1891 + ... + 16590.

It is an arithmetic number, because the mean of its divisors is an integer number (5442949).

Almost surely, 2135835350 is an apocalyptic number.

135835350 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 135835350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195946164).

135835350 is an abundant number, since it is smaller than the sum of its proper divisors (256056978).

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

135835350 is a wasteful number, since it uses less digits than its factorization.

135835350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18510 (or 18498 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 135835350 is about 11654.8423412760. The cubic root of 135835350 is about 514.0487041718.

The spelling of 135835350 in words is "one hundred thirty-five million, eight hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 18481 36962 55443 92405 110886 129367 184810 258734 277215 388101 462025 554430 646835 776202 905569 924050 1293670 1386075 1811138 1940505 2716707 2772150 3234175 3881010 4527845 5433414 6468350 9055690 9702525 13583535 19405050 22639225 27167070 45278450 67917675 135835350