Search a number
-
+
5330016 = 253331199
BaseRepresentation
bin10100010101010001100000
3101000210102000
4110111101200
52331030031
6310124000
763206256
oct24252140
911023360
105330016
11301057a
121950600
131148073
149ca5d6
157043e6
hex515460

5330016 has 96 divisors (see below), whose sum is σ = 16128000. Its totient is φ = 1710720.

The previous prime is 5329999. The next prime is 5330023. The reversal of 5330016 is 6100335.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26685 + ... + 26883.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

Almost surely, 25330016 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 5330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064000).

5330016 is an abundant number, since it is smaller than the sum of its proper divisors (10797984).

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

5330016 is a wasteful number, since it uses less digits than its factorization.

5330016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 5330016 is about 2308.6827413051. The cubic root of 5330016 is about 174.6798609642.

The spelling of 5330016 in words is "five million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 199 216 248 279 288 372 398 432 496 558 597 744 796 837 864 992 1116 1194 1488 1592 1674 1791 2232 2388 2976 3184 3348 3582 4464 4776 5373 6169 6368 6696 7164 8928 9552 10746 12338 13392 14328 18507 19104 21492 24676 26784 28656 37014 42984 49352 55521 57312 74028 85968 98704 111042 148056 166563 171936 197408 222084 296112 333126 444168 592224 666252 888336 1332504 1776672 2665008 5330016