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135593380 = 225133116823
BaseRepresentation
bin10000001010011…
…11110110100100
3100110010212011001
420011033312210
5234202442010
621242123044
73234344656
oct1005176644
9313125131
10135593380
116a5a234a
12394b0484
1322126690
14140186d6
15bd85c3a
hex814fda4

135593380 has 48 divisors (see below), whose sum is σ = 316560384. Its totient is φ = 48447360.

The previous prime is 135593363. The next prime is 135593389. The reversal of 135593380 is 83395531.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (135593389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 352 + ... + 16471.

It is an arithmetic number, because the mean of its divisors is an integer number (6595008).

Almost surely, 2135593380 is an apocalyptic number.

135593380 is a gapful number since it is divisible by the number (10) 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 135593380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158280192).

135593380 is an abundant number, since it is smaller than the sum of its proper divisors (180967004).

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

135593380 is a wasteful number, since it uses less digits than its factorization.

135593380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 16874 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 135593380 is about 11644.4570504597. The cubic root of 135593380 is about 513.7432895764.

The spelling of 135593380 in words is "one hundred thirty-five million, five hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 16823 33646 67292 84115 168230 218699 336460 437398 521513 874796 1043026 1093495 2086052 2186990 2607565 4373980 5215130 6779669 10430260 13559338 27118676 33898345 67796690 135593380