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2455120 = 24530689
BaseRepresentation
bin1001010111011001010000
311121201210101
421113121100
51112030440
6124342144
726603533
oct11273120
94551711
102455120
111427628
129a4954
1367c645
1447ca1a
1533769a
hex257650

2455120 has 20 divisors (see below), whose sum is σ = 5708340. Its totient is φ = 982016.

The previous prime is 2455091. The next prime is 2455127. The reversal of 2455120 is 215542.

2455120 = 1102 + 1112 + ... + 2052.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 583696 = 1368^2 + 764^2 .

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

It is a super-2 number, since 2×24551202 = 12055228428800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15265 + ... + 15424.

It is an arithmetic number, because the mean of its divisors is an integer number (285417).

22455120 is an apocalyptic number.

2455120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2455120 is an abundant number, since it is smaller than the sum of its proper divisors (3253220).

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

2455120 is a wasteful number, since it uses less digits than its factorization.

2455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30702 (or 30696 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2455120 is about 1566.8822546701. The cubic root of 2455120 is about 134.9038180933.

It can be divided in two parts, 245 and 5120, that multiplied together give a square (1254400 = 11202).

The spelling of 2455120 in words is "two million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30689 61378 122756 153445 245512 306890 491024 613780 1227560 2455120