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2483680 = 25519243
BaseRepresentation
bin1001011110010111100000
311200011222011
421132113200
51113434210
6125122304
730053023
oct11362740
94604864
102483680
111447031
129b9394
1368c644
144891ba
15340d8a
hex25e5e0

2483680 has 72 divisors (see below), whose sum is σ = 6336792. Its totient is φ = 919296.

The previous prime is 2483671. The next prime is 2483687. The reversal of 2483680 is 863842.

It is a happy number.

2483680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57739 + ... + 57781.

It is an arithmetic number, because the mean of its divisors is an integer number (88011).

22483680 is an apocalyptic number.

2483680 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 2483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168396).

2483680 is an abundant number, since it is smaller than the sum of its proper divisors (3853112).

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

2483680 is a wasteful number, since it uses less digits than its factorization.

2483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2483680 is about 1575.9695428529. The cubic root of 2483680 is about 135.4249072171.

The spelling of 2483680 in words is "two million, four hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 76 80 86 95 152 160 172 190 215 304 344 361 380 430 608 688 722 760 817 860 1376 1444 1520 1634 1720 1805 2888 3040 3268 3440 3610 4085 5776 6536 6880 7220 8170 11552 13072 14440 15523 16340 26144 28880 31046 32680 57760 62092 65360 77615 124184 130720 155230 248368 310460 496736 620920 1241840 2483680