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21241792 = 2611213211
BaseRepresentation
bin101000100000…
…1111111000000
31110222012021001
41101001333000
520414214132
62035141344
7345360265
oct121017700
943865231
1021241792
1110a99300
127144854
134529710
142b6d26c
151ce8ce7
hex1441fc0

21241792 has 84 divisors (see below), whose sum is σ = 50132488. Its totient is φ = 8870400.

The previous prime is 21241783. The next prime is 21241799. The reversal of 21241792 is 29714212.

It is a self number, because there is not a number n which added to its sum of digits gives 21241792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21241799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100567 + ... + 100777.

Almost surely, 221241792 is an apocalyptic number.

21241792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25066244).

21241792 is an abundant number, since it is smaller than the sum of its proper divisors (28890696).

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

21241792 is a wasteful number, since it uses less digits than its factorization.

21241792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 21241792 is about 4608.8818600611. The cubic root of 21241792 is about 276.9472458804.

It can be divided in two parts, 2124 and 1792, that added together give a triangular number (3916 = T88).

The spelling of 21241792 in words is "twenty-one million, two hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 211 242 286 352 416 422 484 572 704 832 844 968 1144 1573 1688 1936 2288 2321 2743 3146 3376 3872 4576 4642 5486 6292 6752 7744 9152 9284 10972 12584 13504 18568 21944 25168 25531 30173 37136 43888 50336 51062 60346 74272 87776 100672 102124 120692 148544 175552 204248 241384 331903 408496 482768 663806 816992 965536 1327612 1633984 1931072 2655224 5310448 10620896 21241792