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21086880 = 2535197223
BaseRepresentation
bin101000001110…
…0001010100000
31110200022202120
41100130022200
520344240010
62031544240
7344143533
oct120341240
943608676
1021086880
11109a2981
12708b080
1344a4059
142b2ca1a
151cb7e70
hex141c2a0

21086880 has 96 divisors (see below), whose sum is σ = 67060224. Its totient is φ = 5569536.

The previous prime is 21086861. The next prime is 21086887. The reversal of 21086880 is 8868012.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21086887) 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, 94449 + ... + 94671.

It is an arithmetic number, because the mean of its divisors is an integer number (698544).

Almost surely, 221086880 is an apocalyptic number.

21086880 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 21086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).

21086880 is an abundant number, since it is smaller than the sum of its proper divisors (45973344).

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

21086880 is a wasteful number, since it uses less digits than its factorization.

21086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 21086880 is about 4592.0452959438. The cubic root of 21086880 is about 276.2723629378.

The spelling of 21086880 in words is "twenty-one million, eighty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 223 240 394 446 480 591 669 788 892 985 1115 1182 1338 1576 1784 1970 2230 2364 2676 2955 3152 3345 3568 3940 4460 4728 5352 5910 6304 6690 7136 7880 8920 9456 10704 11820 13380 15760 17840 18912 21408 23640 26760 31520 35680 43931 47280 53520 87862 94560 107040 131793 175724 219655 263586 351448 439310 527172 658965 702896 878620 1054344 1317930 1405792 1757240 2108688 2635860 3514480 4217376 5271720 7028960 10543440 21086880