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21415392 = 2532235361
BaseRepresentation
bin101000110110…
…0010111100000
31111022000101200
41101230113200
520440243032
62043001200
7350012355
oct121542740
944260350
1021415392
11110a7779
127209200
13458a73b
142bb662c
151d3047c
hex146c5e0

21415392 has 144 divisors (see below), whose sum is σ = 65808288. Its totient is φ = 6589440.

The previous prime is 21415379. The next prime is 21415417. The reversal of 21415392 is 29351412.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351042 + ... + 351102.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 221415392 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 21415392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904144).

21415392 is an abundant number, since it is smaller than the sum of its proper divisors (44392896).

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

21415392 is a wasteful number, since it uses less digits than its factorization.

21415392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 21415392 is about 4627.6767389263. The cubic root of 21415392 is about 277.6996566568.

The spelling of 21415392 in words is "twenty-one million, four hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 53 61 69 72 92 96 106 122 138 144 159 183 184 207 212 244 276 288 318 366 368 414 424 477 488 549 552 636 732 736 828 848 954 976 1098 1104 1219 1272 1403 1464 1656 1696 1908 1952 2196 2208 2438 2544 2806 2928 3233 3312 3657 3816 4209 4392 4876 5088 5612 5856 6466 6624 7314 7632 8418 8784 9699 9752 10971 11224 12627 12932 14628 15264 16836 17568 19398 19504 21942 22448 25254 25864 29097 29256 33672 38796 39008 43884 44896 50508 51728 58194 58512 67344 74359 77592 87768 101016 103456 116388 117024 134688 148718 155184 175536 202032 223077 232776 297436 310368 351072 404064 446154 465552 594872 669231 892308 931104 1189744 1338462 1784616 2379488 2676924 3569232 5353848 7138464 10707696 21415392