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115974 = 23217379
BaseRepresentation
bin11100010100000110
312220002100
4130110012
512202344
62252530
7662055
oct342406
9186070
10115974
117a151
1257146
1340a31
143039c
1524569
hex1c506

115974 has 24 divisors (see below), whose sum is σ = 266760. Its totient is φ = 36288.

The previous prime is 115963. The next prime is 115979. The reversal of 115974 is 479511.

It is a plaindrome in base 15.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2115974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380).

115974 is an abundant number, since it is smaller than the sum of its proper divisors (150786).

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

115974 is a wasteful number, since it uses less digits than its factorization.

115974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 115974 is about 340.5495558652. The cubic root of 115974 is about 48.7663456036.

It can be divided in two parts, 115 and 974, that added together give a square (1089 = 332).

The spelling of 115974 in words is "one hundred fifteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 379 758 1137 2274 3411 6443 6822 12886 19329 38658 57987 115974