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113443800 = 23352712663
BaseRepresentation
bin1101100001100…
…00001111011000
321220110112122020
412300300033120
5213020200200
615131254440
72545153641
oct660601730
9256415566
10113443800
1159044008
1231baa420
131a66ca12
14110d06c8
159e5cea0
hex6c303d8

113443800 has 96 divisors (see below), whose sum is σ = 356762880. Its totient is φ = 29814400.

The previous prime is 113443793. The next prime is 113443817. The reversal of 113443800 is 8344311.

It is a Cunningham number, because it is equal to 106512-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 41269 + ... + 43931.

It is an arithmetic number, because the mean of its divisors is an integer number (3716280).

Almost surely, 2113443800 is an apocalyptic number.

113443800 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 113443800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178381440).

113443800 is an abundant number, since it is smaller than the sum of its proper divisors (243319080).

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

113443800 is a wasteful number, since it uses less digits than its factorization.

113443800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 113443800 is about 10650.9999530561. Note that the first 4 decimals coincide. The cubic root of 113443800 is about 484.0909034002.

The spelling of 113443800 in words is "one hundred thirteen million, four hundred forty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2663 2840 3550 4260 5325 5326 7100 7989 8520 10650 10652 13315 14200 15978 21300 21304 26630 31956 39945 42600 53260 63912 66575 79890 106520 133150 159780 189073 199725 266300 319560 378146 399450 532600 567219 756292 798900 945365 1134438 1512584 1597800 1890730 2268876 2836095 3781460 4537752 4726825 5672190 7562920 9453650 11344380 14180475 18907300 22688760 28360950 37814600 56721900 113443800