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135250830 = 2335111331113
BaseRepresentation
bin10000000111111…
…00001110001110
3100102111110021000
420003330032032
5234111011310
621230521130
73231420201
oct1003741616
9312443230
10135250830
116a388a50
12393661a6
13220367a0
1413d69938
15bd194c0
hex80fc38e

135250830 has 256 divisors, whose sum is σ = 441262080. Its totient is φ = 29030400.

The previous prime is 135250807. The next prime is 135250831. The reversal of 135250830 is 38052531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135250794 and 135250803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135250831) 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 127 ways as a sum of consecutive naturals, for example, 1196854 + ... + 1196966.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2135250830 is an apocalyptic number.

135250830 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 135250830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

135250830 is an abundant number, since it is smaller than the sum of its proper divisors (306011250).

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

135250830 is a wasteful number, since it uses less digits than its factorization.

135250830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135250830 is about 11629.7390340454. The cubic root of 135250830 is about 513.3103009662.

The spelling of 135250830 in words is "one hundred thirty-five million, two hundred fifty thousand, eight hundred thirty".