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113432000 = 2653111289
BaseRepresentation
bin1101100001011…
…01010111000000
321220102221110012
412300231113000
5213014311000
615131124052
72545104353
oct660552700
9256387405
10113432000
1159036160
1231ba3628
131a667536
14110ca29a
159e59735
hex6c2d5c0

113432000 has 112 divisors (see below), whose sum is σ = 306689760. Its totient is φ = 41216000.

The previous prime is 113431991. The next prime is 113432003. The reversal of 113432000 is 234311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113432003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87356 + ... + 88644.

Almost surely, 2113432000 is an apocalyptic number.

113432000 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 113432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153344880).

113432000 is an abundant number, since it is smaller than the sum of its proper divisors (193257760).

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

113432000 is a wasteful number, since it uses less digits than its factorization.

113432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 113432000 is about 10650.4460000509. The cubic root of 113432000 is about 484.0741183762.

Adding to 113432000 its reverse (234311), we get a palindrome (113666311).

The spelling of 113432000 in words is "one hundred thirteen million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1289 1375 1600 1760 2000 2200 2578 2750 3520 4000 4400 5156 5500 6445 8000 8800 10312 11000 12890 14179 17600 20624 22000 25780 28358 32225 41248 44000 51560 56716 64450 70895 82496 88000 103120 113432 128900 141790 161125 206240 226864 257800 283580 322250 354475 412480 453728 515600 567160 644500 708950 907456 1031200 1134320 1289000 1417900 1772375 2062400 2268640 2578000 2835800 3544750 4537280 5156000 5671600 7089500 10312000 11343200 14179000 22686400 28358000 56716000 113432000