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2475920 = 24530949
BaseRepresentation
bin1001011100011110010000
311122210022202
421130132100
51113212140
6125022332
730021266
oct11343620
94583282
102475920
111441217
129b49a8
13688c55
14486436
1533d915
hex25c790

2475920 has 20 divisors (see below), whose sum is σ = 5756700. Its totient is φ = 990336.

The previous prime is 2475917. The next prime is 2475959. The reversal of 2475920 is 295742.

It can be written as a sum of positive squares in 2 ways, for example, as 1763584 + 712336 = 1328^2 + 844^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×24759202 = 12260359692800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15395 + ... + 15554.

It is an arithmetic number, because the mean of its divisors is an integer number (287835).

22475920 is an apocalyptic number.

2475920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2475920 is an abundant number, since it is smaller than the sum of its proper divisors (3280780).

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

2475920 is a wasteful number, since it uses less digits than its factorization.

2475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30962 (or 30956 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2475920 is about 1573.5056402822. The cubic root of 2475920 is about 135.2837197243.

The spelling of 2475920 in words is "two million, four hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30949 61898 123796 154745 247592 309490 495184 618980 1237960 2475920