Search a number
-
+
21031540 = 2253797293
BaseRepresentation
bin101000000111…
…0101001110100
31110120111211221
41100032221310
520341002130
62030440124
7343523305
oct120165164
943514757
1021031540
1110965342
127063044
134484aca
142b167ac
151ca687a
hex140ea74

21031540 has 48 divisors (see below), whose sum is σ = 45983952. Its totient is φ = 8073216.

The previous prime is 21031531. The next prime is 21031559. The reversal of 21031540 is 4513012.

It can be written as a sum of positive squares in 8 ways, for example, as 3290596 + 17740944 = 1814^2 + 4212^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71634 + ... + 71926.

It is an arithmetic number, because the mean of its divisors is an integer number (957999).

Almost surely, 221031540 is an apocalyptic number.

21031540 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 21031540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22991976).

21031540 is an abundant number, since it is smaller than the sum of its proper divisors (24952412).

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

21031540 is a wasteful number, since it uses less digits than its factorization.

21031540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 21031540 is about 4586.0156999295. The cubic root of 21031540 is about 276.0304699260.

Adding to 21031540 its reverse (4513012), we get a palindrome (25544552).

The spelling of 21031540 in words is "twenty-one million, thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 293 370 388 485 586 740 970 1172 1465 1940 2930 3589 5860 7178 10841 14356 17945 21682 28421 35890 43364 54205 56842 71780 108410 113684 142105 216820 284210 568420 1051577 2103154 4206308 5257885 10515770 21031540