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2431040 = 26571107
BaseRepresentation
bin1001010001100001000000
311120111202112
421101201000
51110243130
6124034452
726443403
oct11214100
94514675
102431040
111410527
12992a28
136716b1
14473d3a
15330495
hex251840

2431040 has 56 divisors (see below), whose sum is σ = 5925312. Its totient is φ = 949760.

The previous prime is 2431007. The next prime is 2431049. The reversal of 2431040 is 401342.

It is not an unprimeable number, because it can be changed into a prime (2431049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22667 + ... + 22773.

22431040 is an apocalyptic number.

2431040 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 2431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962656).

2431040 is an abundant number, since it is smaller than the sum of its proper divisors (3494272).

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

2431040 is a wasteful number, since it uses less digits than its factorization.

2431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2431040 is about 1559.1792712835. The cubic root of 2431040 is about 134.4613193358.

Adding to 2431040 its reverse (401342), we get a palindrome (2832382).

The spelling of 2431040 in words is "two million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 107 142 160 214 284 320 355 428 535 568 710 856 1070 1136 1420 1712 2140 2272 2840 3424 4280 4544 5680 6848 7597 8560 11360 15194 17120 22720 30388 34240 37985 60776 75970 121552 151940 243104 303880 486208 607760 1215520 2431040