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2531280 = 243553199
BaseRepresentation
bin1001101001111111010000
311202121021010
421221333100
51122000110
6130130520
730341553
oct11517720
94677233
102531280
111479874
12a20a40
136a81cb
1449c69a
15350020
hex269fd0

2531280 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 658944.

The previous prime is 2531267. The next prime is 2531293. The reversal of 2531280 is 821352.

It is a Cunningham number, because it is equal to 15912-1.

It is an interprime number because it is at equal distance from previous prime (2531267) and next prime (2531293).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12621 + ... + 12819.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

22531280 is an apocalyptic number.

2531280 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 2531280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2531280 is an abundant number, since it is smaller than the sum of its proper divisors (5503920).

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

2531280 is a wasteful number, since it uses less digits than its factorization.

2531280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2531280 is about 1590.9996857322. Note that the first 3 decimals coincide. The cubic root of 2531280 is about 136.2845828664.

The spelling of 2531280 in words is "two million, five hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 199 212 240 265 318 398 424 530 597 636 795 796 848 995 1060 1194 1272 1590 1592 1990 2120 2388 2544 2985 3180 3184 3980 4240 4776 5970 6360 7960 9552 10547 11940 12720 15920 21094 23880 31641 42188 47760 52735 63282 84376 105470 126564 158205 168752 210940 253128 316410 421880 506256 632820 843760 1265640 2531280