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21893400 = 23325212163
BaseRepresentation
bin101001110000…
…1000100011000
31112012022002200
41103201010120
521101042100
62101130200
7354043104
oct123410430
945168080
1021893400
11113a3921
1273b9960
1346c7199
142c9c904
151dc6e00
hex14e1118

21893400 has 72 divisors (see below), whose sum is σ = 73531380. Its totient is φ = 5837760.

The previous prime is 21893393. The next prime is 21893423. The reversal of 21893400 is 439812.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4282 + ... + 7881.

Almost surely, 221893400 is an apocalyptic number.

21893400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21893400 is an abundant number, since it is smaller than the sum of its proper divisors (51637980).

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

21893400 is a wasteful number, since it uses less digits than its factorization.

21893400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21893400 is about 4679.0383627408. The cubic root of 21893400 is about 279.7506283124.

The spelling of 21893400 in words is "twenty-one million, eight hundred ninety-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12163 24326 36489 48652 60815 72978 97304 109467 121630 145956 182445 218934 243260 291912 304075 364890 437868 486520 547335 608150 729780 875736 912225 1094670 1216300 1459560 1824450 2189340 2432600 2736675 3648900 4378680 5473350 7297800 10946700 21893400