Search a number
-
+
2639936 = 261319167
BaseRepresentation
bin1010000100100001000000
311222010022102
422010201000
51133434221
6132325532
731303415
oct12044100
94863272
102639936
111543472
12a738a8
137157c0
144ca10c
1537230b
hex284840

2639936 has 56 divisors (see below), whose sum is σ = 5974080. Its totient is φ = 1147392.

The previous prime is 2639927. The next prime is 2639939. The reversal of 2639936 is 6399362.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a d-powerful number, because it can be written as 221 + 64 + 3 + 92 + 96 + 37 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 2639936.

It is not an unprimeable number, because it can be changed into a prime (2639939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15725 + ... + 15891.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

22639936 is an apocalyptic number.

2639936 is a gapful number since it is divisible by the number (26) 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 2639936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987040).

2639936 is an abundant number, since it is smaller than the sum of its proper divisors (3334144).

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

2639936 is a wasteful number, since it uses less digits than its factorization.

2639936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 52488, while the sum is 38.

The square root of 2639936 is about 1624.7879861693. The cubic root of 2639936 is about 138.2073477551.

The spelling of 2639936 in words is "two million, six hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 167 208 247 304 334 416 494 608 668 832 988 1216 1336 1976 2171 2672 3173 3952 4342 5344 6346 7904 8684 10688 12692 15808 17368 25384 34736 41249 50768 69472 82498 101536 138944 164996 203072 329992 659984 1319968 2639936