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21605920 = 2557101191
BaseRepresentation
bin101001001101…
…0111000100000
31111122200202021
41102122320200
521012342140
62051031224
7351435010
oct122327040
944580667
1021605920
1111217936
12729b514
13462638b
142c25c40
151d6bb4a
hex149ae20

21605920 has 96 divisors (see below), whose sum is σ = 59222016. Its totient is φ = 7296000.

The previous prime is 21605911. The next prime is 21605923. The reversal of 21605920 is 2950612.

It is not an unprimeable number, because it can be changed into a prime (21605923) 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, 113025 + ... + 113215.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 221605920 is an apocalyptic number.

21605920 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 21605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008).

21605920 is an abundant number, since it is smaller than the sum of its proper divisors (37616096).

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

21605920 is a wasteful number, since it uses less digits than its factorization.

21605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 21605920 is about 4648.2168624108. The cubic root of 21605920 is about 278.5207704760.

The spelling of 21605920 in words is "twenty-one million, six hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 101 112 140 160 191 202 224 280 382 404 505 560 707 764 808 955 1010 1120 1337 1414 1528 1616 1910 2020 2674 2828 3056 3232 3535 3820 4040 5348 5656 6112 6685 7070 7640 8080 10696 11312 13370 14140 15280 16160 19291 21392 22624 26740 28280 30560 38582 42784 53480 56560 77164 96455 106960 113120 135037 154328 192910 213920 270074 308656 385820 540148 617312 675185 771640 1080296 1350370 1543280 2160592 2700740 3086560 4321184 5401480 10802960 21605920