Search a number
-
+
21652016 = 2417233461
BaseRepresentation
bin101001010011…
…0001000110000
31111202000222112
41102212020300
521020331031
62052024452
7352016261
oct122461060
944660875
1021652016
1111249531
127302128
134641359
142c38968
151d7a62b
hex14a6230

21652016 has 40 divisors (see below), whose sum is σ = 46363104. Its totient is φ = 9743360.

The previous prime is 21652003. The next prime is 21652061. The reversal of 21652016 is 61025612.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 21651982 and 21652000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4526 + ... + 7986.

Almost surely, 221652016 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 21652016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181552).

21652016 is an abundant number, since it is smaller than the sum of its proper divisors (24711088).

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

21652016 is a wasteful number, since it uses less digits than its factorization.

21652016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 21652016 is about 4653.1726810855. The cubic root of 21652016 is about 278.7187034782.

Adding to 21652016 its reverse (61025612), we get a palindrome (82677628).

The spelling of 21652016 in words is "twenty-one million, six hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 3461 6256 6922 13844 27688 55376 58837 79603 117674 159206 235348 318412 470696 636824 941392 1273648 1353251 2706502 5413004 10826008 21652016