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21721392 = 2433711653
BaseRepresentation
bin101001011011…
…1000100110000
31111212120011000
41102313010300
521030041032
62053322000
7352425450
oct122670460
944776130
1021721392
1111296670
127336300
134666ac4
142c55d60
151d90e7c
hex14b7130

21721392 has 160 divisors (see below), whose sum is σ = 77852160. Its totient is φ = 5633280.

The previous prime is 21721387. The next prime is 21721397. The reversal of 21721392 is 29312712.

It is an interprime number because it is at equal distance from previous prime (21721387) and next prime (21721397).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (21721397) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32938 + ... + 33590.

It is an arithmetic number, because the mean of its divisors is an integer number (486576).

Almost surely, 221721392 is an apocalyptic number.

21721392 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 21721392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38926080).

21721392 is an abundant number, since it is smaller than the sum of its proper divisors (56130768).

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

21721392 is a wasteful number, since it uses less digits than its factorization.

21721392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 21721392 is about 4660.6214177940. The cubic root of 21721392 is about 279.0160702964.

It can be divided in two parts, 217 and 21392, that added together give a square (21609 = 1472).

The spelling of 21721392 in words is "twenty-one million, seven hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 653 693 756 792 924 1008 1188 1232 1306 1386 1512 1584 1848 1959 2079 2376 2612 2772 3024 3696 3918 4158 4571 4752 5224 5544 5877 7183 7836 8316 9142 10448 11088 11754 13713 14366 15672 16632 17631 18284 21549 23508 27426 28732 31344 33264 35262 36568 41139 43098 47016 50281 54852 57464 64647 70524 73136 82278 86196 94032 100562 109704 114928 123417 129294 141048 150843 164556 172392 193941 201124 219408 246834 258588 282096 301686 329112 344784 387882 402248 452529 493668 517176 603372 658224 775764 804496 905058 987336 1034352 1206744 1357587 1551528 1810116 1974672 2413488 2715174 3103056 3620232 5430348 7240464 10860696 21721392