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2642240 = 26523359
BaseRepresentation
bin1010000101000101000000
311222020110202
422011011000
51134022430
6132344332
731313216
oct12050500
94866422
102642240
111545177
12a750a8
13716873
144cacb6
15372d45
hex285140

2642240 has 56 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 1008128.

The previous prime is 2642239. The next prime is 2642257. The reversal of 2642240 is 422462.

2642240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7181 + ... + 7539.

22642240 is an apocalyptic number.

2642240 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 2642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2642240 is an abundant number, since it is smaller than the sum of its proper divisors (3941440).

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

2642240 is a wasteful number, since it uses less digits than its factorization.

2642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2642240 is about 1625.4968471209. The cubic root of 2642240 is about 138.2475428126.

It can be divided in two parts, 26422 and 40, that added together give a palindrome (26462).

The spelling of 2642240 in words is "two million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 359 368 460 718 736 920 1436 1472 1795 1840 2872 3590 3680 5744 7180 7360 8257 11488 14360 16514 22976 28720 33028 41285 57440 66056 82570 114880 132112 165140 264224 330280 528448 660560 1321120 2642240