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113148 = 22327449
BaseRepresentation
bin11011100111111100
312202012200
4123213330
512110043
62231500
7650610
oct334774
9182180
10113148
1178012
1255590
133c669
142d340
15237d3
hex1b9fc

113148 has 36 divisors (see below), whose sum is σ = 327600. Its totient is φ = 32256.

The previous prime is 113147. The next prime is 113149. The reversal of 113148 is 841311.

It is an interprime number because it is at equal distance from previous prime (113147) and next prime (113149).

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 self number, because there is not a number n which added to its sum of digits gives 113148.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113148.

It is not an unprimeable number, because it can be changed into a prime (113143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2113148 is an apocalyptic number.

113148 is a gapful number since it is divisible by the number (18) 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 113148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

113148 is an abundant number, since it is smaller than the sum of its proper divisors (214452).

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

113148 is a wasteful number, since it uses less digits than its factorization.

113148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 113148 is about 336.3747909698. The cubic root of 113148 is about 48.3669788195.

Adding to 113148 its reverse (841311), we get a palindrome (954459).

The spelling of 113148 in words is "one hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1796 2694 3143 4041 5388 6286 8082 9429 12572 16164 18858 28287 37716 56574 113148