Search a number
-
+
6985636 = 2272291229
BaseRepresentation
bin11010101001011110100100
3111010220111021
4122221132210
53242020021
6405420524
7113243200
oct32513644
914126437
106985636
113a41459
12240a744
1315a7818
14cdbb00
1592ec41
hex6a97a4

6985636 has 36 divisors (see below), whose sum is σ = 14723100. Its totient is φ = 2888256.

The previous prime is 6985631. The next prime is 6985639. The reversal of 6985636 is 6365896.

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 1254400 = 2394^2 + 1120^2 .

It is a super-2 number, since 2×69856362 = 97598220648992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 6985592 and 6985601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6985631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5070 + ... + 6298.

It is an arithmetic number, because the mean of its divisors is an integer number (408975).

Almost surely, 26985636 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 6985636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361550).

6985636 is an abundant number, since it is smaller than the sum of its proper divisors (7737464).

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

6985636 is a wasteful number, since it uses less digits than its factorization.

6985636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1267 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 6985636 is about 2643.0353762294. The cubic root of 6985636 is about 191.1621841845.

The spelling of 6985636 in words is "six million, nine hundred eighty-five thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1229 1421 2458 2842 4916 5684 8603 17206 34412 35641 60221 71282 120442 142564 240884 249487 498974 997948 1746409 3492818 6985636