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2431240 = 235719457
BaseRepresentation
bin1001010001100100001000
311120112000221
421101210020
51110244430
6124035424
726444110
oct11214410
94515027
102431240
111410699
12992b74
13671806
14474040
1533057a
hex251908

2431240 has 64 divisors (see below), whose sum is σ = 6595200. Its totient is φ = 787968.

The previous prime is 2431223. The next prime is 2431241. The reversal of 2431240 is 421342.

It is not an unprimeable number, because it can be changed into a prime (2431241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5092 + ... + 5548.

It is an arithmetic number, because the mean of its divisors is an integer number (103050).

22431240 is an apocalyptic number.

2431240 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 2431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297600).

2431240 is an abundant number, since it is smaller than the sum of its proper divisors (4163960).

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

2431240 is a wasteful number, since it uses less digits than its factorization.

2431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2431240 is about 1559.2434062711. The cubic root of 2431240 is about 134.4650065817.

Adding to 2431240 its reverse (421342), we get a palindrome (2852582).

The spelling of 2431240 in words is "two million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 457 532 665 760 914 1064 1330 1828 2285 2660 3199 3656 4570 5320 6398 8683 9140 12796 15995 17366 18280 25592 31990 34732 43415 60781 63980 69464 86830 121562 127960 173660 243124 303905 347320 486248 607810 1215620 2431240