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5114016 = 25341973
BaseRepresentation
bin10011100000100010100000
3100121211010000
4103200202200
52302122031
6301340000
761316445
oct23404240
910554100
105114016
112983266
121867600
1310a095b
149719cc
156b03e6
hex4e08a0

5114016 has 60 divisors (see below), whose sum is σ = 15047802. Its totient is φ = 1703808.

The previous prime is 5114003. The next prime is 5114047. The reversal of 5114016 is 6104115.

It can be written as a sum of positive squares in only one way, i.e., 4822416 + 291600 = 2196^2 + 540^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5114016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1606 + ... + 3578.

Almost surely, 25114016 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 5114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523901).

5114016 is an abundant number, since it is smaller than the sum of its proper divisors (9933786).

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

5114016 is a wasteful number, since it uses less digits than its factorization.

5114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5114016 is about 2261.4190235337. The cubic root of 5114016 is about 172.2876024785.

Subtracting 5114016 from its reverse (6104115), we obtain a palindrome (990099).

The spelling of 5114016 in words is "five million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1973 2592 3946 5919 7892 11838 15784 17757 23676 31568 35514 47352 53271 63136 71028 94704 106542 142056 159813 189408 213084 284112 319626 426168 568224 639252 852336 1278504 1704672 2557008 5114016