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2483320 = 23573181
BaseRepresentation
bin1001011110010001111000
311200011110211
421132101320
51113431240
6125120504
730052000
oct11362170
94604424
102483320
111446834
129b9134
1368c428
14489000
15340bea
hex25e478

2483320 has 64 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 846720.

The previous prime is 2483291. The next prime is 2483381. The reversal of 2483320 is 233842.

2483320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2483291 and 2483300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13630 + ... + 13810.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

22483320 is an apocalyptic number.

2483320 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 2483320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2483320 is an abundant number, since it is smaller than the sum of its proper divisors (4068680).

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

2483320 is a wasteful number, since it uses less digits than its factorization.

2483320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2483320 is about 1575.8553233086. The cubic root of 2483320 is about 135.4183637920.

The spelling of 2483320 in words is "two million, four hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 181 196 245 280 343 362 392 490 686 724 905 980 1267 1372 1448 1715 1810 1960 2534 2744 3430 3620 5068 6335 6860 7240 8869 10136 12670 13720 17738 25340 35476 44345 50680 62083 70952 88690 124166 177380 248332 310415 354760 496664 620830 1241660 2483320