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2575480 = 23531267
BaseRepresentation
bin1001110100110001111000
311211211220011
421310301320
51124403410
6131111304
730614455
oct11646170
94754804
102575480
1114a9aa6
12a42534
136c236b
144b082c
1535d18a
hex274c78

2575480 has 48 divisors (see below), whose sum is σ = 6077160. Its totient is φ = 982080.

The previous prime is 2575457. The next prime is 2575487. The reversal of 2575480 is 845752.

2575480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575487) 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 11 ways as a sum of consecutive naturals, for example, 38407 + ... + 38473.

22575480 is an apocalyptic number.

2575480 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 2575480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038580).

2575480 is an abundant number, since it is smaller than the sum of its proper divisors (3501680).

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

2575480 is a wasteful number, since it uses less digits than its factorization.

2575480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 2575480 is about 1604.8302090876. The cubic root of 2575480 is about 137.0732554395.

The spelling of 2575480 in words is "two million, five hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 67 124 134 155 248 268 310 335 536 620 670 961 1240 1340 1922 2077 2680 3844 4154 4805 7688 8308 9610 10385 16616 19220 20770 38440 41540 64387 83080 128774 257548 321935 515096 643870 1287740 2575480