Search a number
-
+
115976 = 23719109
BaseRepresentation
bin11100010100001000
312220002102
4130110020
512202401
62252532
7662060
oct342410
9186072
10115976
117a153
1257148
1340a33
14303a0
152456b
hex1c508

115976 has 32 divisors (see below), whose sum is σ = 264000. Its totient is φ = 46656.

The previous prime is 115963. The next prime is 115979. The reversal of 115976 is 679511.

115976 = 142 + 152 + ... + 702.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115976.

It is not an unprimeable number, because it can be changed into a prime (115979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (8250).

2115976 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 115976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132000).

115976 is an abundant number, since it is smaller than the sum of its proper divisors (148024).

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

115976 is a wasteful number, since it uses less digits than its factorization.

115976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 1890, while the sum is 29.

The square root of 115976 is about 340.5524922828. The cubic root of 115976 is about 48.7666259312.

The spelling of 115976 in words is "one hundred fifteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 109 133 152 218 266 436 532 763 872 1064 1526 2071 3052 4142 6104 8284 14497 16568 28994 57988 115976