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2113320 = 2335111601
BaseRepresentation
bin1000000011111100101000
310222100221010
420003330220
51020111240
6113143520
723651166
oct10037450
93870833
102113320
111213850
1285aba0
1358cbb1
143d0236
152bb280
hex203f28

2113320 has 64 divisors (see below), whose sum is σ = 6920640. Its totient is φ = 512000.

The previous prime is 2113291. The next prime is 2113333. The reversal of 2113320 is 233112.

It is a happy number.

It is a super-2 number, since 2×21133202 = 8932242844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2113296 and 2113305.

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, 520 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (108135).

22113320 is an apocalyptic number.

2113320 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 2113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460320).

2113320 is an abundant number, since it is smaller than the sum of its proper divisors (4807320).

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

2113320 is a wasteful number, since it uses less digits than its factorization.

2113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2113320 is about 1453.7262465815. The cubic root of 2113320 is about 128.3280970859.

Adding to 2113320 its reverse (233112), we get a palindrome (2346432).

The spelling of 2113320 in words is "two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1601 3202 4803 6404 8005 9606 12808 16010 17611 19212 24015 32020 35222 38424 48030 52833 64040 70444 88055 96060 105666 140888 176110 192120 211332 264165 352220 422664 528330 704440 1056660 2113320