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7006116 = 2231397463
BaseRepresentation
bin11010101110011110100100
3111011221120210
4122232132210
53243143431
6410055420
7113356665
oct32563644
914157523
107006116
113a55887
12241a570
1315b3c40
14d0536c
15935d46
hex6ae7a4

7006116 has 48 divisors (see below), whose sum is σ = 17825024. Its totient is φ = 2128896.

The previous prime is 7006063. The next prime is 7006133. The reversal of 7006116 is 6116007.

It is a super-2 number, since 2×70061162 = 98171322810912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7006092 and 7006101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14901 + ... + 15363.

Almost surely, 27006116 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 7006116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912512).

7006116 is an abundant number, since it is smaller than the sum of its proper divisors (10818908).

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

7006116 is a wasteful number, since it uses less digits than its factorization.

7006116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 7006116 is about 2646.9068740702. The cubic root of 7006116 is about 191.3488139031.

The spelling of 7006116 in words is "seven million, six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 463 582 926 1164 1261 1389 1852 2522 2778 3783 5044 5556 6019 7566 12038 15132 18057 24076 36114 44911 72228 89822 134733 179644 269466 538932 583843 1167686 1751529 2335372 3503058 7006116