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2563080 = 2335133153
BaseRepresentation
bin1001110001110000001000
311211012212220
421301300020
51124004310
6130534040
730533352
oct11616010
94735786
102563080
1114a0753
12a37320
136b9820
144aa0d2
15359670
hex271c08

2563080 has 128 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 599040.

The previous prime is 2563079. The next prime is 2563087. The reversal of 2563080 is 803652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2563080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48334 + ... + 48386.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22563080 is an apocalyptic number.

2563080 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 2563080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2563080 is an abundant number, since it is smaller than the sum of its proper divisors (6146040).

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

2563080 is a wasteful number, since it uses less digits than its factorization.

2563080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2563080 is about 1600.9622106721. The cubic root of 2563080 is about 136.8529154753.

The spelling of 2563080 in words is "two million, five hundred sixty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 53 60 62 65 78 93 104 106 120 124 130 155 156 159 186 195 212 248 260 265 310 312 318 372 390 403 424 465 520 530 620 636 689 744 780 795 806 930 1060 1209 1240 1272 1378 1560 1590 1612 1643 1860 2015 2067 2120 2418 2756 3180 3224 3286 3445 3720 4030 4134 4836 4929 5512 6045 6360 6572 6890 8060 8215 8268 9672 9858 10335 12090 13144 13780 16120 16430 16536 19716 20670 21359 24180 24645 27560 32860 39432 41340 42718 48360 49290 64077 65720 82680 85436 98580 106795 128154 170872 197160 213590 256308 320385 427180 512616 640770 854360 1281540 2563080