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2530080 = 253257251
BaseRepresentation
bin1001101001101100100000
311202112121200
421221230200
51121430310
6130121200
730335220
oct11515440
94675550
102530080
111478983
12a20200
136a77b7
1449c080
1534e9c0
hex269b20

2530080 has 144 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 576000.

The previous prime is 2530079. The next prime is 2530091. The reversal of 2530080 is 800352.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9955 + ... + 10205.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22530080 is an apocalyptic number.

2530080 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 2530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

2530080 is an abundant number, since it is smaller than the sum of its proper divisors (7376544).

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

2530080 is a wasteful number, since it uses less digits than its factorization.

2530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2530080 is about 1590.6225196444. The cubic root of 2530080 is about 136.2630433884.

The spelling of 2530080 in words is "two million, five hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 251 252 280 288 315 336 360 420 480 502 504 560 630 672 720 753 840 1004 1008 1120 1255 1260 1440 1506 1680 1757 2008 2016 2259 2510 2520 3012 3360 3514 3765 4016 4518 5020 5040 5271 6024 7028 7530 8032 8785 9036 10040 10080 10542 11295 12048 14056 15060 15813 17570 18072 20080 21084 22590 24096 26355 28112 30120 31626 35140 36144 40160 42168 45180 52710 56224 60240 63252 70280 72288 79065 84336 90360 105420 120480 126504 140560 158130 168672 180720 210840 253008 281120 316260 361440 421680 506016 632520 843360 1265040 2530080