Search a number
-
+
2139768 = 2332113263
BaseRepresentation
bin1000001010011001111000
311000201012200
420022121320
51021433033
6113510200
724121251
oct10123170
94021180
102139768
111231704
12872360
1359bc47
143d9b28
152c4013
hex20a678

2139768 has 48 divisors (see below), whose sum is σ = 5868720. Its totient is φ = 704256.

The previous prime is 2139757. The next prime is 2139811. The reversal of 2139768 is 8679312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8005 + ... + 8267.

It is an arithmetic number, because the mean of its divisors is an integer number (122265).

22139768 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 2139768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934360).

2139768 is an abundant number, since it is smaller than the sum of its proper divisors (3728952).

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

2139768 is a wasteful number, since it uses less digits than its factorization.

2139768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2139768 is about 1462.7945857160. The cubic root of 2139768 is about 128.8612172506.

The spelling of 2139768 in words is "two million, one hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 263 339 452 526 678 789 904 1017 1052 1356 1578 2034 2104 2367 2712 3156 4068 4734 6312 8136 9468 18936 29719 59438 89157 118876 178314 237752 267471 356628 534942 713256 1069884 2139768