Search a number
-
+
631116 = 223247373
BaseRepresentation
bin10011010000101001100
31012001201200
42122011030
5130143431
621305500
75235663
oct2320514
91161650
10631116
113a1192
12265290
13191355
14125dda
15c6ee6
hex9a14c

631116 has 36 divisors (see below), whose sum is σ = 1633632. Its totient is φ = 205344.

The previous prime is 631061. The next prime is 631121. The reversal of 631116 is 611136.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 631116.

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, 1506 + ... + 1878.

2631116 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 631116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816816).

631116 is an abundant number, since it is smaller than the sum of its proper divisors (1002516).

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

631116 is a wasteful number, since it uses less digits than its factorization.

631116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 631116 is about 794.4280961799. The cubic root of 631116 is about 85.7767782364.

It can be divided in two parts, 631 and 116, that added together give a palindrome (747).

The spelling of 631116 in words is "six hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 373 423 564 746 846 1119 1492 1692 2238 3357 4476 6714 13428 17531 35062 52593 70124 105186 157779 210372 315558 631116