Search a number
-
+
2590380 = 223551341
BaseRepresentation
bin1001111000011010101100
311212121100000
421320122230
51130343010
6131304300
731006062
oct11703254
94777300
102590380
11150a211
12a4b090
136c9090
144b6032
153627c0
hex2786ac

2590380 has 144 divisors (see below), whose sum is σ = 8989344. Its totient is φ = 622080.

The previous prime is 2590373. The next prime is 2590381. The reversal of 2590380 is 830952.

2590380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63160 + ... + 63200.

It is an arithmetic number, because the mean of its divisors is an integer number (62426).

22590380 is an apocalyptic number.

2590380 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 2590380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494672).

2590380 is an abundant number, since it is smaller than the sum of its proper divisors (6398964).

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

2590380 is a wasteful number, since it uses less digits than its factorization.

2590380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2590380 is about 1609.4657498686. The cubic root of 2590380 is about 137.3370852862.

The spelling of 2590380 in words is "two million, five hundred ninety thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 41 45 52 54 60 65 78 81 82 90 108 117 123 130 135 156 162 164 180 195 205 234 243 246 260 270 324 351 369 390 405 410 468 486 492 533 540 585 615 702 738 780 810 820 972 1053 1066 1107 1170 1215 1230 1404 1476 1599 1620 1755 1845 2106 2132 2214 2340 2430 2460 2665 3159 3198 3321 3510 3690 4212 4428 4797 4860 5265 5330 5535 6318 6396 6642 7020 7380 7995 9594 9963 10530 10660 11070 12636 13284 14391 15795 15990 16605 19188 19926 21060 22140 23985 28782 31590 31980 33210 39852 43173 47970 49815 57564 63180 66420 71955 86346 95940 99630 129519 143910 172692 199260 215865 259038 287820 431730 518076 647595 863460 1295190 2590380