Search a number
-
+
2168920 = 235134397
BaseRepresentation
bin1000010001100001011000
311002012012101
420101201120
51023401140
6114253144
724302245
oct10214130
94065171
102168920
1112515a6
128871b4
135ac2b0
144065cc
152cc99a
hex211858

2168920 has 64 divisors (see below), whose sum is σ = 5433120. Its totient is φ = 774144.

The previous prime is 2168917. The next prime is 2168921. The reversal of 2168920 is 298612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22312 + ... + 22408.

22168920 is an apocalyptic number.

2168920 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 2168920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716560).

2168920 is an abundant number, since it is smaller than the sum of its proper divisors (3264200).

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

2168920 is a wasteful number, since it uses less digits than its factorization.

2168920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2168920 is about 1472.7253647575. The cubic root of 2168920 is about 129.4437773664.

The spelling of 2168920 in words is "two million, one hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 97 104 130 172 194 215 260 344 388 430 485 520 559 776 860 970 1118 1261 1720 1940 2236 2522 2795 3880 4171 4472 5044 5590 6305 8342 10088 11180 12610 16684 20855 22360 25220 33368 41710 50440 54223 83420 108446 166840 216892 271115 433784 542230 1084460 2168920