Search a number
-
+
2413140 = 2235371087
BaseRepresentation
bin1001001101001001010100
311112121012120
421031021110
51104210030
6123415540
726340252
oct11151124
94477176
102413140
1113a9034
129845b0
136664c2
1446b5d2
1532a010
hex24d254

2413140 has 48 divisors (see below), whose sum is σ = 6945792. Its totient is φ = 625536.

The previous prime is 2413123. The next prime is 2413153. The reversal of 2413140 is 413142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (144704).

22413140 is an apocalyptic number.

2413140 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 2413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472896).

2413140 is an abundant number, since it is smaller than the sum of its proper divisors (4532652).

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

2413140 is a wasteful number, since it uses less digits than its factorization.

2413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2413140 is about 1553.4284663286. The cubic root of 2413140 is about 134.1304884686.

Adding to 2413140 its reverse (413142), we get a palindrome (2826282).

The spelling of 2413140 in words is "two million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1087 1110 2174 2220 3261 4348 5435 6522 10870 13044 16305 21740 32610 40219 65220 80438 120657 160876 201095 241314 402190 482628 603285 804380 1206570 2413140