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2431020 = 2235311307
BaseRepresentation
bin1001010001100000101100
311120111201210
421101200230
51110243040
6124034420
726443344
oct11214054
94514653
102431020
111410509
12992a10
13671697
14473d24
15330480
hex25182c

2431020 has 48 divisors (see below), whose sum is σ = 7031808. Its totient is φ = 626880.

The previous prime is 2431007. The next prime is 2431049. The reversal of 2431020 is 201342.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2430987 and 2431005.

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, 1207 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (146496).

22431020 is an apocalyptic number.

2431020 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 2431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515904).

2431020 is an abundant number, since it is smaller than the sum of its proper divisors (4600788).

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

2431020 is a wasteful number, since it uses less digits than its factorization.

2431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2431020 is about 1559.1728576396. The cubic root of 2431020 is about 134.4609506001.

Adding to 2431020 its reverse (201342), we get a palindrome (2632362).

The spelling of 2431020 in words is "two million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1307 1860 2614 3921 5228 6535 7842 13070 15684 19605 26140 39210 40517 78420 81034 121551 162068 202585 243102 405170 486204 607755 810340 1215510 2431020