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21799840 = 2551971101
BaseRepresentation
bin101001100101…
…0001110100000
31112000112202111
41103022032200
521040043330
62055125104
7353203246
oct123121640
945015674
1021799840
111133a5a7
127373794
13469371a
142c76796
151da932a
hex14ca3a0

21799840 has 96 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 8064000.

The previous prime is 21799829. The next prime is 21799849. The reversal of 21799840 is 4899712.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21799793 and 21799802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21799849) 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, 215790 + ... + 215890.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 221799840 is an apocalyptic number.

21799840 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 21799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

21799840 is an abundant number, since it is smaller than the sum of its proper divisors (33720800).

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

21799840 is a wasteful number, since it uses less digits than its factorization.

21799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 21799840 is about 4669.0298778226. The cubic root of 21799840 is about 279.3515606925.

The spelling of 21799840 in words is "twenty-one million, seven hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 71 76 80 95 101 142 152 160 190 202 284 304 355 380 404 505 568 608 710 760 808 1010 1136 1349 1420 1520 1616 1919 2020 2272 2698 2840 3040 3232 3838 4040 5396 5680 6745 7171 7676 8080 9595 10792 11360 13490 14342 15352 16160 19190 21584 26980 28684 30704 35855 38380 43168 53960 57368 61408 71710 76760 107920 114736 136249 143420 153520 215840 229472 272498 286840 307040 544996 573680 681245 1089992 1147360 1362490 2179984 2724980 4359968 5449960 10899920 21799840