Search a number
-
+
2182440 = 2335131399
BaseRepresentation
bin1000010100110100101000
311002212202010
420110310220
51024314230
6114435520
724356541
oct10246450
94085663
102182440
111260777
12892ba0
135b54b0
1440b4c8
152d19b0
hex214d28

2182440 has 64 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 536832.

The previous prime is 2182429. The next prime is 2182441. The reversal of 2182440 is 442812.

2182440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2182441) 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, 861 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

22182440 is an apocalyptic number.

2182440 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 2182440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2182440 is an abundant number, since it is smaller than the sum of its proper divisors (4873560).

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

2182440 is a wasteful number, since it uses less digits than its factorization.

2182440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2182440 is about 1477.3083632065. The cubic root of 2182440 is about 129.7121837663.

The spelling of 2182440 in words is "two million, one hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1399 1560 2798 4197 5596 6995 8394 11192 13990 16788 18187 20985 27980 33576 36374 41970 54561 55960 72748 83940 90935 109122 145496 167880 181870 218244 272805 363740 436488 545610 727480 1091220 2182440