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134401360 = 24510915413
BaseRepresentation
bin10000000001011…
…00110101010000
3100100220022000011
420000230311100
5233401320420
621200404304
73221251462
oct1000546520
9310808004
10134401360
1169958805
1239016694
1321ac9c42
1413bc8132
15bbec95a
hex802cd50

134401360 has 40 divisors (see below), whose sum is σ = 315370440. Its totient is φ = 53263872.

The previous prime is 134401349. The next prime is 134401363. The reversal of 134401360 is 63104431.

It can be written as a sum of positive squares in 4 ways, for example, as 46566976 + 87834384 = 6824^2 + 9372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134401363) 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, 1014 + ... + 16426.

It is an arithmetic number, because the mean of its divisors is an integer number (7884261).

Almost surely, 2134401360 is an apocalyptic number.

134401360 is a gapful number since it is divisible by the number (10) 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 134401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157685220).

134401360 is an abundant number, since it is smaller than the sum of its proper divisors (180969080).

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

134401360 is a wasteful number, since it uses less digits than its factorization.

134401360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15535 (or 15529 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 134401360 is about 11593.1600523757. The cubic root of 134401360 is about 512.2333937547.

Adding to 134401360 its reverse (63104431), we get a palindrome (197505791).

The spelling of 134401360 in words is "one hundred thirty-four million, four hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 15413 30826 61652 77065 123304 154130 246608 308260 616520 1233040 1680017 3360034 6720068 8400085 13440136 16800170 26880272 33600340 67200680 134401360