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2575080 = 2332523311
BaseRepresentation
bin1001110100101011101000
311211211100100
421310223220
51124400310
6131105400
730613344
oct11645350
94754310
102575080
1114a9772
12a42260
136c2121
144b0624
1535cec0
hex274ae8

2575080 has 96 divisors (see below), whose sum is σ = 8760960. Its totient is φ = 654720.

The previous prime is 2575073. The next prime is 2575081. The reversal of 2575080 is 805752.

It is a happy number.

2575080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2575081) 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 23 ways as a sum of consecutive naturals, for example, 8125 + ... + 8435.

It is an arithmetic number, because the mean of its divisors is an integer number (91260).

22575080 is an apocalyptic number.

2575080 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 2575080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380480).

2575080 is an abundant number, since it is smaller than the sum of its proper divisors (6185880).

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

2575080 is a wasteful number, since it uses less digits than its factorization.

2575080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2575080 is about 1604.7055804726. The cubic root of 2575080 is about 137.0661587506.

The spelling of 2575080 in words is "two million, five hundred seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 311 345 360 414 460 552 622 690 828 920 933 1035 1244 1380 1555 1656 1866 2070 2488 2760 2799 3110 3732 4140 4665 5598 6220 7153 7464 8280 9330 11196 12440 13995 14306 18660 21459 22392 27990 28612 35765 37320 42918 55980 57224 64377 71530 85836 107295 111960 128754 143060 171672 214590 257508 286120 321885 429180 515016 643770 858360 1287540 2575080