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2590434 = 233721189
BaseRepresentation
bin1001111000011011100010
311212121102000
421320123202
51130343214
6131304430
731006200
oct11703342
94777360
102590434
11150a260
12a4b116
136c9102
144b6070
15362809
hex2786e2

2590434 has 96 divisors (see below), whose sum is σ = 7387200. Its totient is φ = 665280.

The previous prime is 2590433. The next prime is 2590439. The reversal of 2590434 is 4340952.

2590434 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 junction number, because it is equal to n+sod(n) for n = 2590398 and 2590407.

It is not an unprimeable number, because it can be changed into a prime (2590433) 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, 29062 + ... + 29150.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

22590434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693600).

2590434 is an abundant number, since it is smaller than the sum of its proper divisors (4796766).

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

2590434 is a wasteful number, since it uses less digits than its factorization.

2590434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2590434 is about 1609.4825255342. The cubic root of 2590434 is about 137.3380396058.

The spelling of 2590434 in words is "two million, five hundred ninety thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 89 98 99 126 147 154 178 189 198 231 267 294 297 378 441 462 534 539 594 623 693 801 882 979 1078 1246 1323 1386 1602 1617 1869 1958 2079 2403 2646 2937 3234 3738 4158 4361 4806 4851 5607 5874 6853 8722 8811 9702 11214 13083 13706 14553 16821 17622 20559 26166 26433 29106 33642 39249 41118 47971 52866 61677 78498 95942 117747 123354 143913 185031 235494 287826 370062 431739 863478 1295217 2590434