Search a number
-
+
2134660 = 2251131313
BaseRepresentation
bin1000001001001010000100
311000110012111
420021022010
51021302120
6113430404
724100333
oct10111204
94013174
102134660
111228890
1286b404
13599818
143d7d1a
152c275a
hex209284

2134660 has 48 divisors (see below), whose sum is σ = 5064192. Its totient is φ = 748800.

The previous prime is 2134637. The next prime is 2134697. The reversal of 2134660 is 664312.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6664 + ... + 6976.

It is an arithmetic number, because the mean of its divisors is an integer number (105504).

22134660 is an apocalyptic number.

2134660 is a gapful number since it is divisible by the number (20) 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 2134660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532096).

2134660 is an abundant number, since it is smaller than the sum of its proper divisors (2929532).

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

2134660 is a wasteful number, since it uses less digits than its factorization.

2134660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

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

The square root of 2134660 is about 1461.0475693830. The cubic root of 2134660 is about 128.7585974716.

Adding to 2134660 its reverse (664312), we get a palindrome (2798972).

The spelling of 2134660 in words is "two million, one hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 313 341 620 626 682 1252 1364 1565 1705 3130 3410 3443 6260 6820 6886 9703 13772 17215 19406 34430 38812 48515 68860 97030 106733 194060 213466 426932 533665 1067330 2134660