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21079296 = 283271307
BaseRepresentation
bin101000001101…
…0010100000000
31110122221100200
41100122110000
520344014141
62031445200
7344112450
oct120322400
943587320
1021079296
1110998207
127086800
1344a0774
142b29d60
151cb5ab6
hex141a500

21079296 has 108 divisors (see below), whose sum is σ = 69512352. Its totient is φ = 6018048.

The previous prime is 21079271. The next prime is 21079297. The reversal of 21079296 is 69297012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21079296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21079297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15475 + ... + 16781.

Almost surely, 221079296 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 21079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34756176).

21079296 is an abundant number, since it is smaller than the sum of its proper divisors (48433056).

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

21079296 is a wasteful number, since it uses less digits than its factorization.

21079296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 21079296 is about 4591.2194458553. The cubic root of 21079296 is about 276.2392380621.

The spelling of 21079296 in words is "twenty-one million, seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1307 1344 1792 2016 2304 2614 2688 3921 4032 5228 5376 7842 8064 9149 10456 11763 15684 16128 18298 20912 23526 27447 31368 36596 41824 47052 54894 62736 73192 82341 83648 94104 109788 125472 146384 164682 167296 188208 219576 250944 292768 329364 334592 376416 439152 501888 585536 658728 752832 878304 1003776 1171072 1317456 1505664 1756608 2342144 2634912 3011328 3513216 5269824 7026432 10539648 21079296