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135410848 = 2517832999
BaseRepresentation
bin10000001001000…
…11010010100000
3100102210120202121
420010203102200
5234131121343
621234154024
73232654546
oct1004432240
9312716677
10135410848
116a4881a1
1239422914
1322091581
1413dabd96
15bd4baed
hex81234a0

135410848 has 48 divisors (see below), whose sum is σ = 285768000. Its totient is φ = 62934016.

The previous prime is 135410843. The next prime is 135410857. The reversal of 135410848 is 848014531.

135410848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (135410843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43653 + ... + 46651.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2135410848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135410848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884000).

135410848 is an abundant number, since it is smaller than the sum of its proper divisors (150357152).

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

135410848 is a wasteful number, since it uses less digits than its factorization.

135410848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 135410848 is about 11636.6166904303. The cubic root of 135410848 is about 513.5126571258.

The spelling of 135410848 in words is "one hundred thirty-five million, four hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 332 544 664 1328 1411 2656 2822 2999 5644 5998 11288 11996 22576 23992 45152 47984 50983 95968 101966 203932 248917 407864 497834 815728 995668 1631456 1991336 3982672 4231589 7965344 8463178 16926356 33852712 67705424 135410848