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113823000 = 23325312647
BaseRepresentation
bin1101100100011…
…00110100011000
321221011210210200
412302030310120
5213114314000
615143342200
72551323324
oct662146430
9257153720
10113823000
11592829a5
1232151960
131a7734b5
141118c984
159ed5500
hex6c8cd18

113823000 has 96 divisors (see below), whose sum is σ = 384752160. Its totient is φ = 30350400.

The previous prime is 113822993. The next prime is 113823029. The reversal of 113823000 is 328311.

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 23 ways as a sum of consecutive naturals, for example, 2677 + ... + 15323.

It is an arithmetic number, because the mean of its divisors is an integer number (4007835).

Almost surely, 2113823000 is an apocalyptic number.

113823000 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 113823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192376080).

113823000 is an abundant number, since it is smaller than the sum of its proper divisors (270929160).

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

113823000 is a wasteful number, since it uses less digits than its factorization.

113823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12674 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113823000 is about 10668.7862477416. The cubic root of 113823000 is about 484.6296815365.

The spelling of 113823000 in words is "one hundred thirteen million, eight hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 12647 25294 37941 50588 63235 75882 101176 113823 126470 151764 189705 227646 252940 303528 316175 379410 455292 505880 569115 632350 758820 910584 948525 1138230 1264700 1517640 1580875 1897050 2276460 2529400 2845575 3161750 3794100 4552920 4742625 5691150 6323500 7588200 9485250 11382300 12647000 14227875 18970500 22764600 28455750 37941000 56911500 113823000