Search a number
-
+
2590320 = 243543251
BaseRepresentation
bin1001111000011001110000
311212121020210
421320121300
51130342240
6131304120
731005645
oct11703160
94777223
102590320
11150a167
12a4b040
136c9045
144b5dcc
15362780
hex278670

2590320 has 80 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 672000.

The previous prime is 2590279. The next prime is 2590349. The reversal of 2590320 is 230952.

2590320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 10195 + ... + 10445.

22590320 is an apocalyptic number.

2590320 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 2590320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

2590320 is an abundant number, since it is smaller than the sum of its proper divisors (5659152).

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

2590320 is a wasteful number, since it uses less digits than its factorization.

2590320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2590320 is about 1609.4471100350. The cubic root of 2590320 is about 137.3360249156.

The spelling of 2590320 in words is "two million, five hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 251 258 344 430 502 516 645 688 753 860 1004 1032 1255 1290 1506 1720 2008 2064 2510 2580 3012 3440 3765 4016 5020 5160 6024 7530 10040 10320 10793 12048 15060 20080 21586 30120 32379 43172 53965 60240 64758 86344 107930 129516 161895 172688 215860 259032 323790 431720 518064 647580 863440 1295160 2590320