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21310816 = 253741439
BaseRepresentation
bin101000101001…
…0110101100000
31111002200221111
41101102311200
520423421231
62040433104
7346065442
oct121226540
944080844
1021310816
111103614a
127178794
134551c67
142b8a492
151d0e4b1
hex1452d60

21310816 has 48 divisors (see below), whose sum is σ = 44241120. Its totient is φ = 10091520.

The previous prime is 21310813. The next prime is 21310819. The reversal of 21310816 is 61801312.

It is an interprime number because it is at equal distance from previous prime (21310813) and next prime (21310819).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48325 + ... + 48763.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 221310816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21310816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120560).

21310816 is an abundant number, since it is smaller than the sum of its proper divisors (22930304).

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

21310816 is a wasteful number, since it uses less digits than its factorization.

21310816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 21310816 is about 4616.3639371263. The cubic root of 21310816 is about 277.2468963452.

The spelling of 21310816 in words is "twenty-one million, three hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 296 328 439 592 656 878 1184 1312 1517 1756 3034 3512 6068 7024 12136 14048 16243 17999 24272 32486 35998 48544 64972 71996 129944 143992 259888 287984 519776 575968 665963 1331926 2663852 5327704 10655408 21310816