Search a number
-
+
21406528 = 2611132339
BaseRepresentation
bin101000110101…
…0001101000000
31111021120020101
41101222031000
520440002103
62042452144
7346644463
oct121521500
944246211
1021406528
11110a1050
127204054
1345866b0
142bb32da
151d2ca1d
hex146a340

21406528 has 56 divisors (see below), whose sum is σ = 49926240. Its totient is φ = 8977920.

The previous prime is 21406507. The next prime is 21406529. The reversal of 21406528 is 82560412.

It is a junction number, because it is equal to n+sod(n) for n = 21406496 and 21406505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21406529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7983 + ... + 10321.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 221406528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963120).

21406528 is an abundant number, since it is smaller than the sum of its proper divisors (28519712).

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

21406528 is a wasteful number, since it uses less digits than its factorization.

21406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 21406528 is about 4626.7189238163. The cubic root of 21406528 is about 277.6613373419.

It can be divided in two parts, 2140 and 6528, that added together give a palindrome (8668).

The spelling of 21406528 in words is "twenty-one million, four hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 2339 4576 4678 9152 9356 18712 25729 30407 37424 51458 60814 74848 102916 121628 149696 205832 243256 334477 411664 486512 668954 823328 973024 1337908 1646656 1946048 2675816 5351632 10703264 21406528