Search a number
-
+
135851360 = 2551814691
BaseRepresentation
bin10000001100011…
…10110101100000
3100110121222000212
420012032311200
5234234220420
621251433252
73236501051
oct1006166540
9313558025
10135851360
116a759157
12395b5828
13221b6c28
1414084728
15bdd73c5
hex818ed60

135851360 has 48 divisors (see below), whose sum is σ = 322790832. Its totient is φ = 54028800.

The previous prime is 135851357. The next prime is 135851371. The reversal of 135851360 is 63158531.

135851360 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26615 + ... + 31305.

It is an arithmetic number, because the mean of its divisors is an integer number (6724809).

Almost surely, 2135851360 is an apocalyptic number.

135851360 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 135851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161395416).

135851360 is an abundant number, since it is smaller than the sum of its proper divisors (186939472).

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

135851360 is a wasteful number, since it uses less digits than its factorization.

135851360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 135851360 is about 11655.5291600167. The cubic root of 135851360 is about 514.0688992007.

The spelling of 135851360 in words is "one hundred thirty-five million, eight hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 4691 5792 7240 9382 14480 18764 23455 28960 37528 46910 75056 93820 150112 187640 375280 750560 849071 1698142 3396284 4245355 6792568 8490710 13585136 16981420 27170272 33962840 67925680 135851360