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113466000 = 2435318911
BaseRepresentation
bin1101100001101…
…01101010010000
321220111200002110
412300311222100
5213021403000
615131545320
72545305444
oct660655220
9256450073
10113466000
115905975a
1231bbb240
131a679b5b
14110d8824
159e64850
hex6c35a90

113466000 has 80 divisors (see below), whose sum is σ = 365833728. Its totient is φ = 30256000.

The previous prime is 113465993. The next prime is 113466047. The reversal of 113466000 is 664311.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3456 + ... + 15455.

Almost surely, 2113466000 is an apocalyptic number.

113466000 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 113466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182916864).

113466000 is an abundant number, since it is smaller than the sum of its proper divisors (252367728).

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

113466000 is a wasteful number, since it uses less digits than its factorization.

113466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18937 (or 18921 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 113466000 is about 10652.0420577465. The cubic root of 113466000 is about 484.1224788502.

The spelling of 113466000 in words is "one hundred thirteen million, four hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 18911 37822 56733 75644 94555 113466 151288 189110 226932 283665 302576 378220 453864 472775 567330 756440 907728 945550 1134660 1418325 1512880 1891100 2269320 2363875 2836650 3782200 4538640 4727750 5673300 7091625 7564400 9455500 11346600 14183250 18911000 22693200 28366500 37822000 56733000 113466000