Search a number
-
+
135999460 = 22523417211
BaseRepresentation
bin10000001101100…
…10111111100100
3100110220111012001
420012302333210
5234303440320
621254535044
73240655612
oct1006627744
9313814161
10135999460
116a84a453
1239667484
132223946c
14140c26b2
15be1620a
hex81b2fe4

135999460 has 48 divisors (see below), whose sum is σ = 305327232. Its totient is φ = 50758400.

The previous prime is 135999443. The next prime is 135999467. The reversal of 135999460 is 64999531.

135999460 is digitally balanced in base 2, 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 (46).

It is a self number, because there is not a number n which added to its sum of digits gives 135999460.

It is not an unprimeable number, because it can be changed into a prime (135999467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15255 + ... + 22465.

It is an arithmetic number, because the mean of its divisors is an integer number (6360984).

Almost surely, 2135999460 is an apocalyptic number.

135999460 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 135999460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152663616).

135999460 is an abundant number, since it is smaller than the sum of its proper divisors (169327772).

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

135999460 is a wasteful number, since it uses less digits than its factorization.

135999460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The square root of 135999460 is about 11661.8806373586. The cubic root of 135999460 is about 514.2556374974.

The spelling of 135999460 in words is "one hundred thirty-five million, nine hundred ninety-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 7211 9430 14422 18860 28844 36055 72110 144220 165853 295651 331706 591302 663412 829265 1182604 1478255 1658530 2956510 3317060 5913020 6799973 13599946 27199892 33999865 67999730 135999460