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21693320 = 23511471049
BaseRepresentation
bin101001011000…
…0001110001000
31111211010122022
41102300032020
521023141240
62052544012
7352250555
oct122601610
944733568
1021693320
1111277570
127322008
1346570ac
142c49a2c
151d879b5
hex14b0388

21693320 has 64 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 7713280.

The previous prime is 21693319. The next prime is 21693323. The reversal of 21693320 is 2339612.

It is a self number, because there is not a number n which added to its sum of digits gives 21693320.

It is not an unprimeable number, because it can be changed into a prime (21693323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20156 + ... + 21204.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 221693320 is an apocalyptic number.

21693320 is a gapful number since it is divisible by the number (20) 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 21693320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

21693320 is an abundant number, since it is smaller than the sum of its proper divisors (32738680).

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

21693320 is a wasteful number, since it uses less digits than its factorization.

21693320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 21693320 is about 4657.6088285729. The cubic root of 21693320 is about 278.8958214695.

The spelling of 21693320 in words is "twenty-one million, six hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1049 1880 2068 2098 2585 4136 4196 5170 5245 8392 10340 10490 11539 20680 20980 23078 41960 46156 49303 57695 92312 98606 115390 197212 230780 246515 394424 461560 493030 542333 986060 1084666 1972120 2169332 2711665 4338664 5423330 10846660 21693320