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2471140 = 225719929
BaseRepresentation
bin1001011011010011100100
311122112202201
421123103210
51113034030
6124544244
730001330
oct11332344
94575681
102471140
111438671
129b2084
13686a19
144847c0
1533c2ca
hex25b4e4

2471140 has 48 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 801792.

The previous prime is 2471113. The next prime is 2471149. The reversal of 2471140 is 411742.

2471140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24711402 = 12213065799200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2471149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2196 + ... + 3124.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

22471140 is an apocalyptic number.

2471140 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 2471140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2471140 is an abundant number, since it is smaller than the sum of its proper divisors (3778460).

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

2471140 is a wasteful number, since it uses less digits than its factorization.

2471140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 2471140 is about 1571.9860050268. The cubic root of 2471140 is about 135.1966042586.

Adding to 2471140 its reverse (411742), we get a palindrome (2882882).

The spelling of 2471140 in words is "two million, four hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 929 1330 1858 2660 3716 4645 6503 9290 13006 17651 18580 26012 32515 35302 65030 70604 88255 123557 130060 176510 247114 353020 494228 617785 1235570 2471140