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115948 = 22741101
BaseRepresentation
bin11100010011101100
312220001101
4130103230
512202243
62252444
7662020
oct342354
9186041
10115948
117a128
1257124
1340a11
1430380
152454d
hex1c4ec

115948 has 24 divisors (see below), whose sum is σ = 239904. Its totient is φ = 48000.

The previous prime is 115933. The next prime is 115963. The reversal of 115948 is 849511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115933) and next prime (115963).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098 + ... + 1198.

It is an arithmetic number, because the mean of its divisors is an integer number (9996).

2115948 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 115948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952).

115948 is an abundant number, since it is smaller than the sum of its proper divisors (123956).

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

115948 is a wasteful number, since it uses less digits than its factorization.

115948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 115948 is about 340.5113801329. The cubic root of 115948 is about 48.7627010518.

The spelling of 115948 in words is "one hundred fifteen thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 41 82 101 164 202 287 404 574 707 1148 1414 2828 4141 8282 16564 28987 57974 115948