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113234400 = 25325215727
BaseRepresentation
bin1101011111111…
…01000111100000
321220001220101200
412233331013200
5212442000100
615123001200
72543322306
oct657750740
9256056350
10113234400
1158a10754
1231b09200
131a5c8606
1411078276
159e1ae00
hex6bfd1e0

113234400 has 108 divisors (see below), whose sum is σ = 399318192. Its totient is φ = 30193920.

The previous prime is 113234377. The next prime is 113234411. The reversal of 113234400 is 4432311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 664 + ... + 15063.

Almost surely, 2113234400 is an apocalyptic number.

113234400 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 113234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199659096).

113234400 is an abundant number, since it is smaller than the sum of its proper divisors (286083792).

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

113234400 is a wasteful number, since it uses less digits than its factorization.

113234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15753 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113234400 is about 10641.1653497162. The cubic root of 113234400 is about 483.7928672226.

Adding to 113234400 its reverse (4432311), we get a palindrome (117666711).

The spelling of 113234400 in words is "one hundred thirteen million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 15727 31454 47181 62908 78635 94362 125816 141543 157270 188724 235905 251632 283086 314540 377448 393175 471810 503264 566172 629080 707715 754896 786350 943620 1132344 1179525 1258160 1415430 1509792 1572700 1887240 2264688 2359050 2516320 2830860 3145400 3538575 3774480 4529376 4718100 5661720 6290800 7077150 7548960 9436200 11323440 12581600 14154300 18872400 22646880 28308600 37744800 56617200 113234400