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2590980 = 2235731199
BaseRepresentation
bin1001111000100100000100
311212122011020
421320210010
51130402410
6131311140
731010610
oct11704404
94778136
102590980
11150a707
12a4b4b0
136c9432
144b6340
15362a70
hex278904

2590980 has 96 divisors (see below), whose sum is σ = 8601600. Its totient is φ = 570240.

The previous prime is 2590979. The next prime is 2590997. The reversal of 2590980 is 890952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12921 + ... + 13119.

It is an arithmetic number, because the mean of its divisors is an integer number (89600).

22590980 is an apocalyptic number.

2590980 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 2590980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300800).

2590980 is an abundant number, since it is smaller than the sum of its proper divisors (6010620).

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

2590980 is a wasteful number, since it uses less digits than its factorization.

2590980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2590980 is about 1609.6521363326. The cubic root of 2590980 is about 137.3476880922.

It can be divided in two parts, 2590 and 980, that added together give a triangular number (3570 = T84).

The spelling of 2590980 in words is "two million, five hundred ninety thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 199 210 217 310 372 398 420 434 465 597 620 651 796 868 930 995 1085 1194 1302 1393 1860 1990 2170 2388 2604 2786 2985 3255 3980 4179 4340 5572 5970 6169 6510 6965 8358 11940 12338 13020 13930 16716 18507 20895 24676 27860 30845 37014 41790 43183 61690 74028 83580 86366 92535 123380 129549 172732 185070 215915 259098 370140 431830 518196 647745 863660 1295490 2590980