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2432080 = 245743101
BaseRepresentation
bin1001010001110001010000
311120120012001
421101301100
51110311310
6124043344
726446420
oct11216120
94516161
102432080
111411292
12993554
13672001
14474480
1533093a
hex251c50

2432080 has 80 divisors (see below), whose sum is σ = 6678144. Its totient is φ = 806400.

The previous prime is 2432077. The next prime is 2432093. The reversal of 2432080 is 802342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 24030 + ... + 24130.

22432080 is an apocalyptic number.

2432080 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 2432080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339072).

2432080 is an abundant number, since it is smaller than the sum of its proper divisors (4246064).

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

2432080 is a wasteful number, since it uses less digits than its factorization.

2432080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2432080 is about 1559.5127444173. The cubic root of 2432080 is about 134.4804908064.

The spelling of 2432080 in words is "two million, four hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 101 112 140 172 202 215 280 301 344 404 430 505 560 602 688 707 808 860 1010 1204 1414 1505 1616 1720 2020 2408 2828 3010 3440 3535 4040 4343 4816 5656 6020 7070 8080 8686 11312 12040 14140 17372 21715 24080 28280 30401 34744 43430 56560 60802 69488 86860 121604 152005 173720 243208 304010 347440 486416 608020 1216040 2432080