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21187296 = 2532135659
BaseRepresentation
bin101000011010…
…0101011100000
31110212102111200
41100310223200
520410443141
62034041200
7345042354
oct120645340
943772450
1021187296
1110a61369
127119200
13450a980
142b57464
151cd7ab6
hex1434ae0

21187296 has 72 divisors (see below), whose sum is σ = 64897560. Its totient is φ = 6518016.

The previous prime is 21187279. The next prime is 21187303. The reversal of 21187296 is 69278112.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21187296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915 + ... + 6573.

It is an arithmetic number, because the mean of its divisors is an integer number (901355).

Almost surely, 221187296 is an apocalyptic number.

21187296 is a gapful number since it is divisible by the number (26) 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 21187296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32448780).

21187296 is an abundant number, since it is smaller than the sum of its proper divisors (43710264).

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

21187296 is a wasteful number, since it uses less digits than its factorization.

21187296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5677 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 21187296 is about 4602.9660003089. The cubic root of 21187296 is about 276.7102062088.

The spelling of 21187296 in words is "twenty-one million, one hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5659 11318 16977 22636 33954 45272 50931 67908 73567 90544 101862 135816 147134 181088 203724 220701 271632 294268 407448 441402 543264 588536 662103 814896 882804 1177072 1324206 1629792 1765608 2354144 2648412 3531216 5296824 7062432 10593648 21187296