Search a number
-
+
21282954 = 2372116581
BaseRepresentation
bin101000100110…
…0000010001010
31111001021201120
41101030002022
520422023304
62040100110
7345621300
oct121140212
944037646
1021282954
1111017220
127164636
134542384
142b80270
151d060d9
hex144c08a

21282954 has 48 divisors (see below), whose sum is σ = 54025056. Its totient is φ = 5527200.

The previous prime is 21282953. The next prime is 21282967. The reversal of 21282954 is 45928212.

It is a super-2 number, since 2×212829542 = 905928261932232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21282953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57 + ... + 6524.

It is an arithmetic number, because the mean of its divisors is an integer number (1125522).

Almost surely, 221282954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21282954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27012528).

21282954 is an abundant number, since it is smaller than the sum of its proper divisors (32742102).

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

21282954 is a wasteful number, since it uses less digits than its factorization.

21282954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6611 (or 6604 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 21282954 is about 4613.3452071138. The cubic root of 21282954 is about 277.1260184163.

The spelling of 21282954 in words is "twenty-one million, two hundred eighty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 6581 13162 19743 39486 46067 72391 92134 138201 144782 217173 276402 322469 434346 506737 644938 967407 1013474 1520211 1934814 3040422 3547159 7094318 10641477 21282954