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2642280 = 233597227
BaseRepresentation
bin1010000101000101101000
311222020112020
422011011220
51134023110
6132344440
731313304
oct12050550
94866466
102642280
111545203
12a75120
137168a4
144cad04
15372d70
hex285168

2642280 has 64 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 694272.

The previous prime is 2642257. The next prime is 2642287. The reversal of 2642280 is 822462.

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 2642280.

It is not an unprimeable number, because it can be changed into a prime (2642287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11527 + ... + 11753.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

22642280 is an apocalyptic number.

2642280 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 2642280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2642280 is an abundant number, since it is smaller than the sum of its proper divisors (5401560).

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

2642280 is a wasteful number, since it uses less digits than its factorization.

2642280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2642280 is about 1625.5091510047. The cubic root of 2642280 is about 138.2482404371.

The spelling of 2642280 in words is "two million, six hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 227 291 388 454 485 582 681 776 908 970 1135 1164 1362 1455 1816 1940 2270 2328 2724 2910 3405 3880 4540 5448 5820 6810 9080 11640 13620 22019 27240 44038 66057 88076 110095 132114 176152 220190 264228 330285 440380 528456 660570 880760 1321140 2642280