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2113380 = 2232559199
BaseRepresentation
bin1000000011111101100100
310222101000100
420003331210
51020112010
6113144100
723651313
oct10037544
93871010
102113380
1112138a5
1285b030
1358cc29
143d027a
152bb2c0
hex203f64

2113380 has 72 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 551232.

The previous prime is 2113379. The next prime is 2113393. The reversal of 2113380 is 833112.

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

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, 10521 + ... + 10719.

It is an arithmetic number, because the mean of its divisors is an integer number (91000).

22113380 is an apocalyptic number.

2113380 is a gapful number since it is divisible by the number (20) 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 2113380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2113380 is an abundant number, since it is smaller than the sum of its proper divisors (4438620).

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

2113380 is a wasteful number, since it uses less digits than its factorization.

2113380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 268 counting only the distinct ones).

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

The square root of 2113380 is about 1453.7468830577. The cubic root of 2113380 is about 128.3293115435.

Adding to 2113380 its reverse (833112), we get a palindrome (2946492).

The spelling of 2113380 in words is "two million, one hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 199 236 295 354 398 531 590 597 708 796 885 995 1062 1180 1194 1770 1791 1990 2124 2388 2655 2985 3540 3582 3980 5310 5970 7164 8955 10620 11741 11940 17910 23482 35223 35820 46964 58705 70446 105669 117410 140892 176115 211338 234820 352230 422676 528345 704460 1056690 2113380