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21306942 = 2331921093
BaseRepresentation
bin101000101000…
…1111000111110
31111002111122000
41101101320332
520423310232
62040403130
7346051236
oct121217076
944074560
1021306942
1111033248
1271764a6
134550277
142b88cc6
151d0d27c
hex1451e3e

21306942 has 48 divisors (see below), whose sum is σ = 50017680. Its totient is φ = 6722352.

The previous prime is 21306913. The next prime is 21306953. The reversal of 21306942 is 24960312.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 18948 + ... + 20040.

It is an arithmetic number, because the mean of its divisors is an integer number (1042035).

Almost surely, 221306942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21306942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25008840).

21306942 is an abundant number, since it is smaller than the sum of its proper divisors (28710738).

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

21306942 is a wasteful number, since it uses less digits than its factorization.

21306942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21306942 is about 4615.9443237543. The cubic root of 21306942 is about 277.2300954937.

The spelling of 21306942 in words is "twenty-one million, three hundred six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 1093 2166 2186 3249 3279 6498 6558 9747 9837 19494 19674 20767 29511 41534 59022 62301 124602 186903 373806 394573 560709 789146 1121418 1183719 2367438 3551157 7102314 10653471 21306942