Search a number
-
+
5690016 = 253223859
BaseRepresentation
bin10101101101001010100000
3101201002020100
4111231022200
52424040031
6321542400
766235653
oct25551240
911632210
105690016
113236aa2
121aa4a00
131242b97
14a8189a
15775de6
hex56d2a0

5690016 has 72 divisors (see below), whose sum is σ = 16904160. Its totient is φ = 1812096.

The previous prime is 5689991. The next prime is 5690023. The reversal of 5690016 is 6100965.

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

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, 6195 + ... + 7053.

It is an arithmetic number, because the mean of its divisors is an integer number (234780).

Almost surely, 25690016 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 5690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8452080).

5690016 is an abundant number, since it is smaller than the sum of its proper divisors (11214144).

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

5690016 is a wasteful number, since it uses less digits than its factorization.

5690016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5690016 is about 2385.3754421474. The cubic root of 5690016 is about 178.5272420348.

The spelling of 5690016 in words is "five million, six hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 859 1104 1656 1718 2208 2577 3312 3436 5154 6624 6872 7731 10308 13744 15462 19757 20616 27488 30924 39514 41232 59271 61848 79028 82464 118542 123696 158056 177813 237084 247392 316112 355626 474168 632224 711252 948336 1422504 1896672 2845008 5690016