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135260244 = 223273731439
BaseRepresentation
bin10000000111111…
…10100001010100
3100102111221011200
420003332201110
5234111311434
621231032500
73231456510
oct1003764124
9312457150
10135260244
116a395029
123936b730
132203ab62
1413d6d140
15bd1c199
hex80fe854

135260244 has 72 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 38515392.

The previous prime is 135260231. The next prime is 135260249. The reversal of 135260244 is 442062531.

135260244 is a `hidden beast` number, since 1 + 3 + 52 + 602 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135260249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93277 + ... + 94715.

It is an arithmetic number, because the mean of its divisors is an integer number (5445440).

Almost surely, 2135260244 is an apocalyptic number.

135260244 is a gapful number since it is divisible by the number (14) 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 135260244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

135260244 is an abundant number, since it is smaller than the sum of its proper divisors (256811436).

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

135260244 is a wasteful number, since it uses less digits than its factorization.

135260244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 135260244 is about 11630.1437652335. The cubic root of 135260244 is about 513.3222101748.

The spelling of 135260244 in words is "one hundred thirty-five million, two hundred sixty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 373 746 1119 1439 1492 2238 2611 2878 3357 4317 4476 5222 5756 6714 7833 8634 10073 10444 12951 13428 15666 17268 20146 23499 25902 30219 31332 40292 46998 51804 60438 90657 93996 120876 181314 362628 536747 1073494 1610241 2146988 3220482 3757229 4830723 6440964 7514458 9661446 11271687 15028916 19322892 22543374 33815061 45086748 67630122 135260244