Search a number
-
+
2167260 = 223541881
BaseRepresentation
bin1000010001000111011100
311002002220220
420101013130
51023323020
6114241340
724264354
oct10210734
94062826
102167260
111250327
12886250
135ab604
14405b64
152cc240
hex2111dc

2167260 has 48 divisors (see below), whose sum is σ = 6223392. Its totient is φ = 563200.

The previous prime is 2167259. The next prime is 2167261. The reversal of 2167260 is 627612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2167259) and next prime (2167261).

It is a self number, because there is not a number n which added to its sum of digits gives 2167260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167261) 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, 2020 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (129654).

22167260 is an apocalyptic number.

2167260 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 2167260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111696).

2167260 is an abundant number, since it is smaller than the sum of its proper divisors (4056132).

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

2167260 is a wasteful number, since it uses less digits than its factorization.

2167260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2167260 is about 1472.1616759038. The cubic root of 2167260 is about 129.4107453331.

The spelling of 2167260 in words is "two million, one hundred sixty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 881 1230 1762 2460 2643 3524 4405 5286 8810 10572 13215 17620 26430 36121 52860 72242 108363 144484 180605 216726 361210 433452 541815 722420 1083630 2167260