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2426460 = 2235371093
BaseRepresentation
bin1001010000011001011100
311120021110220
421100121130
51110121320
6124001340
726424141
oct11203134
94507426
102426460
111408043
12990250
1366c59a
144723c8
1532de40
hex25065c

2426460 has 48 divisors (see below), whose sum is σ = 6984096. Its totient is φ = 628992.

The previous prime is 2426453. The next prime is 2426467. The reversal of 2426460 is 646242.

It is an interprime number because it is at equal distance from previous prime (2426453) and next prime (2426467).

It is a d-powerful number, because it can be written as 215 + 4 + 221 + 63 + 47 + 67 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2426460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (145502).

22426460 is an apocalyptic number.

2426460 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 2426460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492048).

2426460 is an abundant number, since it is smaller than the sum of its proper divisors (4557636).

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

2426460 is a wasteful number, since it uses less digits than its factorization.

2426460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2426460 is about 1557.7098574510. The cubic root of 2426460 is about 134.3768260073.

The spelling of 2426460 in words is "two million, four hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1093 1110 2186 2220 3279 4372 5465 6558 10930 13116 16395 21860 32790 40441 65580 80882 121323 161764 202205 242646 404410 485292 606615 808820 1213230 2426460