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135247950 = 23252378123
BaseRepresentation
bin10000000111110…
…11100001001110
3100102111022022100
420003323201032
5234110413300
621230455530
73231405615
oct1003734116
9312438270
10135247950
116a386872
12393645a6
1322035396
1413d6887c
15bd18700
hex80fb84e

135247950 has 72 divisors (see below), whose sum is σ = 373232808. Its totient is φ = 35087040.

The previous prime is 135247933. The next prime is 135247969. The reversal of 135247950 is 59742531.

135247950 is a `hidden beast` number, since 13 + 524 + 79 + 50 = 666.

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, 12589 + ... + 20711.

It is an arithmetic number, because the mean of its divisors is an integer number (5183789).

Almost surely, 2135247950 is an apocalyptic number.

135247950 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 135247950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186616404).

135247950 is an abundant number, since it is smaller than the sum of its proper divisors (237984858).

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

135247950 is a wasteful number, since it uses less digits than its factorization.

135247950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135247950 is about 11629.6152128951. The cubic root of 135247950 is about 513.3066575032.

The spelling of 135247950 in words is "one hundred thirty-five million, two hundred forty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8123 8325 16246 16650 24369 40615 48738 73107 81230 121845 146214 203075 243690 300551 365535 406150 601102 609225 731070 901653 1218450 1502755 1803306 1827675 2704959 3005510 3655350 4508265 5409918 7513775 9016530 13524795 15027550 22541325 27049590 45082650 67623975 135247950