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2890580 = 2257111877
BaseRepresentation
bin1011000001101101010100
312102212010112
423001231110
51214444310
6141542152
733366230
oct13015524
95385115
102890580
1116a4810
12b74958
137a2904
145535c0
153c1705
hex2c1b54

2890580 has 48 divisors (see below), whose sum is σ = 7572096. Its totient is φ = 900480.

The previous prime is 2890577. The next prime is 2890583. The reversal of 2890580 is 850982.

It is an interprime number because it is at equal distance from previous prime (2890577) and next prime (2890583).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (157752).

22890580 is an apocalyptic number.

2890580 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 2890580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786048).

2890580 is an abundant number, since it is smaller than the sum of its proper divisors (4681516).

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

2890580 is a wasteful number, since it uses less digits than its factorization.

2890580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2890580 is about 1700.1705796772. The cubic root of 2890580 is about 142.4497411763.

The spelling of 2890580 in words is "two million, eight hundred ninety thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1877 3754 7508 9385 13139 18770 20647 26278 37540 41294 52556 65695 82588 103235 131390 144529 206470 262780 289058 412940 578116 722645 1445290 2890580