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2470120 = 235371669
BaseRepresentation
bin1001011011000011101000
311122111100221
421123003220
51113020440
6124535424
726665342
oct11330350
94574327
102470120
111437924
129b1574
13686413
14484292
1533bd4a
hex25b0e8

2470120 has 32 divisors (see below), whose sum is σ = 5711400. Its totient is φ = 960768.

The previous prime is 2470109. The next prime is 2470121. The reversal of 2470120 is 210742.

It can be written as a sum of positive squares in 4 ways, for example, as 2353156 + 116964 = 1534^2 + 342^2 .

It is a super-2 number, since 2×24701202 = 12202985628800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2470094 and 2470103.

It is not an unprimeable number, because it can be changed into a prime (2470121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646 + ... + 2314.

22470120 is an apocalyptic number.

2470120 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 2470120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855700).

2470120 is an abundant number, since it is smaller than the sum of its proper divisors (3241280).

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

2470120 is a wasteful number, since it uses less digits than its factorization.

2470120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2470120 is about 1571.6615411723. The cubic root of 2470120 is about 135.1780002251.

Adding to 2470120 its reverse (210742), we get a palindrome (2680862).

The spelling of 2470120 in words is "two million, four hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1669 3338 6676 8345 13352 16690 33380 61753 66760 123506 247012 308765 494024 617530 1235060 2470120