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2590260 = 2235231877
BaseRepresentation
bin1001111000011000110100
311212121011120
421320120310
51130342020
6131303540
731005531
oct11703064
94777146
102590260
11150a112
12a4abb0
136c8cca
144b5d88
15362740
hex278634

2590260 has 48 divisors (see below), whose sum is σ = 7572096. Its totient is φ = 660352.

The previous prime is 2590249. The next prime is 2590271. The reversal of 2590260 is 620952.

It is an interprime number because it is at equal distance from previous prime (2590249) and next prime (2590271).

It is a self number, because there is not a number n which added to its sum of digits gives 2590260.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 137.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442 + ... + 2318.

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

22590260 is an apocalyptic number.

2590260 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 2590260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786048).

2590260 is an abundant number, since it is smaller than the sum of its proper divisors (4981836).

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

2590260 is a wasteful number, since it uses less digits than its factorization.

2590260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2590260 is about 1609.4284699855. The cubic root of 2590260 is about 137.3349645285.

It can be divided in two parts, 2590 and 260, that added together give a triangular number (2850 = T75).

The spelling of 2590260 in words is "two million, five hundred ninety thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1877 3754 5631 7508 9385 11262 18770 22524 28155 37540 43171 56310 86342 112620 129513 172684 215855 259026 431710 518052 647565 863420 1295130 2590260