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2631420 = 2233511443
BaseRepresentation
bin1010000010011011111100
311221200122000
422002123330
51133201140
6132222300
731236531
oct12023374
94850560
102631420
111538030
12a6a990
1371196c
144c6d88
1536ea30
hex2826fc

2631420 has 96 divisors (see below), whose sum is σ = 8951040. Its totient is φ = 636480.

The previous prime is 2631401. The next prime is 2631427. The reversal of 2631420 is 241362.

It is a happy number.

2631420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 219 + 65 + 37 + 1 + 42 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2631393 and 2631402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5719 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (93240).

22631420 is an apocalyptic number.

2631420 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 2631420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475520).

2631420 is an abundant number, since it is smaller than the sum of its proper divisors (6319620).

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

2631420 is a wasteful number, since it uses less digits than its factorization.

2631420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2631420 is about 1622.1652196987. The cubic root of 2631420 is about 138.0585762671.

Adding to 2631420 its reverse (241362), we get a palindrome (2872782).

The spelling of 2631420 in words is "two million, six hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 443 495 540 594 660 886 990 1188 1329 1485 1772 1980 2215 2658 2970 3987 4430 4873 5316 5940 6645 7974 8860 9746 11961 13290 14619 15948 19492 19935 23922 24365 26580 29238 39870 43857 47844 48730 58476 59805 73095 79740 87714 97460 119610 131571 146190 175428 219285 239220 263142 292380 438570 526284 657855 877140 1315710 2631420