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2463090 = 235737317
BaseRepresentation
bin1001011001010101110010
311122010201120
421121111302
51112304330
6124443110
726636010
oct11312562
94563646
102463090
111432613
129a9496
13683166
144818b0
15339c10
hex259572

2463090 has 64 divisors (see below), whose sum is σ = 6960384. Its totient is φ = 546048.

The previous prime is 2463077. The next prime is 2463101. The reversal of 2463090 is 903642.

2463090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2463090 is a nontrivial binomial coefficient, being equal to C(2220, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 2463090.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7612 + ... + 7928.

It is an arithmetic number, because the mean of its divisors is an integer number (108756).

22463090 is an apocalyptic number.

2463090 is the 2219-th triangular number and also the 1110-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480192).

2463090 is an abundant number, since it is smaller than the sum of its proper divisors (4497294).

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

2463090 is a wasteful number, since it uses less digits than its factorization.

2463090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2463090 is about 1569.4234610200. The cubic root of 2463090 is about 135.0496388103.

The spelling of 2463090 in words is "two million, four hundred sixty-three thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 317 370 518 555 634 777 951 1110 1295 1554 1585 1902 2219 2590 3170 3885 4438 4755 6657 7770 9510 11095 11729 13314 22190 23458 33285 35187 58645 66570 70374 82103 117290 164206 175935 246309 351870 410515 492618 821030 1231545 2463090