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2575040 = 26513619
BaseRepresentation
bin1001110100101011000000
311211211021212
421310223000
51124400130
6131105252
730613256
oct11645300
94754255
102575040
1114a9736
12a42228
136c20c0
144b05d6
1535ce95
hex274ac0

2575040 has 56 divisors (see below), whose sum is σ = 6614160. Its totient is φ = 949248.

The previous prime is 2575021. The next prime is 2575043. The reversal of 2575040 is 405752.

It is a junction number, because it is equal to n+sod(n) for n = 2574997 and 2575015.

It is not an unprimeable number, because it can be changed into a prime (2575043) 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, 3851 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

22575040 is an apocalyptic number.

2575040 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 2575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307080).

2575040 is an abundant number, since it is smaller than the sum of its proper divisors (4039120).

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

2575040 is a wasteful number, since it uses less digits than its factorization.

2575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 2575040 is about 1604.6931170788. The cubic root of 2575040 is about 137.0654490413.

The spelling of 2575040 in words is "two million, five hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 619 832 1040 1238 2080 2476 3095 4160 4952 6190 8047 9904 12380 16094 19808 24760 32188 39616 40235 49520 64376 80470 99040 128752 160940 198080 257504 321880 515008 643760 1287520 2575040