Search a number
-
+
117056 = 263159
BaseRepresentation
bin11100100101000000
312221120102
4130211000
512221211
62301532
7665162
oct344500
9187512
10117056
117aa45
12578a8
1341384
1430932
1524a3b
hex1c940

117056 has 28 divisors (see below), whose sum is σ = 243840. Its totient is φ = 55680.

The previous prime is 117053. The next prime is 117071. The reversal of 117056 is 650711.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1955 + ... + 2013.

2117056 is an apocalyptic number.

117056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920).

117056 is an abundant number, since it is smaller than the sum of its proper divisors (126784).

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

117056 is an equidigital number, since it uses as much as digits as its factorization.

117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 117056 is about 342.1344764855. The cubic root of 117056 is about 48.9175344826.

Adding to 117056 its reverse (650711), we get a palindrome (767767).

It can be divided in two parts, 11705 and 6, that added together give a palindrome (11711).

The spelling of 117056 in words is "one hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 236 248 472 496 944 992 1829 1888 1984 3658 3776 7316 14632 29264 58528 117056