Search a number
-
+
21055040 = 265193463
BaseRepresentation
bin101000001010…
…0011001000000
31110121201002022
41100110121000
520342230130
62031141012
7343651646
oct120243100
943551068
1021055040
1110980a66
127074768
134492706
142b21196
151cad7e5
hex1414640

21055040 has 56 divisors (see below), whose sum is σ = 52791360. Its totient is φ = 7976448.

The previous prime is 21055037. The next prime is 21055043. The reversal of 21055040 is 4055012.

It is an interprime number because it is at equal distance from previous prime (21055037) and next prime (21055043).

It is not an unprimeable number, because it can be changed into a prime (21055043) 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 7 ways as a sum of consecutive naturals, for example, 4349 + ... + 7811.

Almost surely, 221055040 is an apocalyptic number.

21055040 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 21055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26395680).

21055040 is an abundant number, since it is smaller than the sum of its proper divisors (31736320).

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

21055040 is a wasteful number, since it uses less digits than its factorization.

21055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 21055040 is about 4588.5771215051. The cubic root of 21055040 is about 276.1332409946.

The spelling of 21055040 in words is "twenty-one million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 3463 6080 6926 13852 17315 27704 34630 55408 65797 69260 110816 131594 138520 221632 263188 277040 328985 526376 554080 657970 1052752 1108160 1315940 2105504 2631880 4211008 5263760 10527520 21055040