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2590140 = 223572881
BaseRepresentation
bin1001111000010110111100
311212121000010
421320112330
51130341030
6131303220
731005300
oct11702674
94777003
102590140
11150a013
12a4ab10
136c8c37
144b5d00
153626b0
hex2785bc

2590140 has 72 divisors (see below), whose sum is σ = 8446032. Its totient is φ = 591360.

The previous prime is 2590139. The next prime is 2590157. The reversal of 2590140 is 410952.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2500 + ... + 3380.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

22590140 is an apocalyptic number.

2590140 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 2590140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016).

2590140 is an abundant number, since it is smaller than the sum of its proper divisors (5855892).

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

2590140 is a wasteful number, since it uses less digits than its factorization.

2590140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2590140 is about 1609.3911892390. The cubic root of 2590140 is about 137.3328437054.

The spelling of 2590140 in words is "two million, five hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 881 980 1470 1762 2643 2940 3524 4405 5286 6167 8810 10572 12334 13215 17620 18501 24668 26430 30835 37002 43169 52860 61670 74004 86338 92505 123340 129507 172676 185010 215845 259014 370020 431690 518028 647535 863380 1295070 2590140