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21416634 = 23217223179
BaseRepresentation
bin101000110110…
…0101010111010
31111022002002200
41101230222322
520440313014
62043011030
7350016111
oct121545272
944262080
1021416634
11110a86a8
127209a76
13458b185
142bb6c78
151d30a09
hex146caba

21416634 has 72 divisors (see below), whose sum is σ = 51723360. Its totient is φ = 6390912.

The previous prime is 21416609. The next prime is 21416641. The reversal of 21416634 is 43661412.

21416634 is a `hidden beast` number, since 2 + 14 + 16 + 634 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21416598 and 21416607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119557 + ... + 119735.

It is an arithmetic number, because the mean of its divisors is an integer number (718380).

Almost surely, 221416634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21416634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25861680).

21416634 is an abundant number, since it is smaller than the sum of its proper divisors (30306726).

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

21416634 is a wasteful number, since it uses less digits than its factorization.

21416634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21416634 is about 4627.8109295865. The cubic root of 21416634 is about 277.7050250122.

The spelling of 21416634 in words is "twenty-one million, four hundred sixteen thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 179 207 289 306 358 391 414 537 578 782 867 1074 1173 1611 1734 2346 2601 3043 3222 3519 4117 5202 6086 6647 7038 8234 9129 12351 13294 18258 19941 24702 27387 37053 39882 51731 54774 59823 69989 74106 103462 119646 139978 155193 209967 310386 419934 465579 629901 931158 1189813 1259802 2379626 3569439 7138878 10708317 21416634