113400 has 120 divisors (see below), whose sum is σ = 450120. Its totient is φ = 25920.

The previous prime is 113383. The next prime is 113417. The reversal of 113400 is 4311.

Adding to 113400 its reverse (4311), we get a palindrome (117711).

It is an interprime number because it is at equal distance from previous prime (113383) and next prime (113417).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 6.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 75 × 21 × 72.

It is a congruent number.

It is an unprimeable number.

113400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16197 + ... + 16203.

It is an arithmetic number, because the mean of its divisors is an integer number (3751).

2^{113400} is an apocalyptic number.

113400 is a gapful number since it is divisible by the number (10) 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 113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225060).

113400 is an abundant number, since it is smaller than the sum of its proper divisors (336720).

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

113400 is a wasteful number, since it uses less digits than its factorization.

113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 113400 is about 336.7491648097. The cubic root of 113400 is about 48.4028593807.

The spelling of 113400 in words is "one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 50 54 56 60 63 70 72 75 81 84 90 100 105 108 120 126 135 140 150 162 168 175 180 189 200 210 216 225 252 270 280 300 315 324 350 360 378 405 420 450 504 525 540 567 600 630 648 675 700 756 810 840 900 945 1050 1080 1134 1260 1350 1400 1512 1575 1620 1800 1890 2025 2100 2268 2520 2700 2835 3150 3240 3780 4050 4200 4536 4725 5400 5670 6300 7560 8100 9450 11340 12600 14175 16200 18900 22680 28350 37800 56700 113400

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