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135262950 = 23524367313
BaseRepresentation
bin10000000111111…
…11001011100110
3100102112001212220
420003333023212
5234111403300
621231053210
73231500424
oct1003771346
9312461786
10135262950
116a397069
1239371206
132203c164
1413d70114
15bd1cda0
hex80ff2e6

135262950 has 96 divisors (see below), whose sum is σ = 349489536. Its totient is φ = 34594560.

The previous prime is 135262927. The next prime is 135262969. The reversal of 135262950 is 59262531.

135262950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431994 + ... + 432306.

It is an arithmetic number, because the mean of its divisors is an integer number (3640516).

Almost surely, 2135262950 is an apocalyptic number.

135262950 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 135262950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174744768).

135262950 is an abundant number, since it is smaller than the sum of its proper divisors (214226586).

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

135262950 is a wasteful number, since it uses less digits than its factorization.

135262950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 135262950 is about 11630.2601002729. The cubic root of 135262950 is about 513.3256333059.

The spelling of 135262950 in words is "one hundred thirty-five million, two hundred sixty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 67 75 86 129 134 150 201 215 258 313 335 402 430 626 645 670 939 1005 1075 1290 1565 1675 1878 2010 2150 2881 3130 3225 3350 4695 5025 5762 6450 7825 8643 9390 10050 13459 14405 15650 17286 20971 23475 26918 28810 40377 41942 43215 46950 62913 67295 72025 80754 86430 104855 125826 134590 144050 201885 209710 216075 314565 336475 403770 432150 524275 629130 672950 901753 1009425 1048550 1572825 1803506 2018850 2705259 3145650 4508765 5410518 9017530 13526295 22543825 27052590 45087650 67631475 135262950