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2461140 = 22325112113
BaseRepresentation
bin1001011000110111010100
311122001001100
421120313110
51112224030
6124430100
726630223
oct11306724
94561040
102461140
111431100
129a8330
136822c6
14480cba
15339360
hex258dd4

2461140 has 108 divisors (see below), whose sum is σ = 8278452. Its totient is φ = 591360.

The previous prime is 2461139. The next prime is 2461153. The reversal of 2461140 is 411642.

2461140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 2108304 = 594^2 + 1452^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 21724 + ... + 21836.

22461140 is an apocalyptic number.

2461140 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 2461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139226).

2461140 is an abundant number, since it is smaller than the sum of its proper divisors (5817312).

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

2461140 is a wasteful number, since it uses less digits than its factorization.

2461140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2461140 is about 1568.8020907686. The cubic root of 2461140 is about 135.0139903197.

Adding to 2461140 its reverse (411642), we get a palindrome (2872782).

It can be divided in two parts, 2461 and 140, that added together give a square (2601 = 512).

The spelling of 2461140 in words is "two million, four hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 113 121 132 165 180 198 220 226 242 330 339 363 396 452 484 495 565 605 660 678 726 990 1017 1089 1130 1210 1243 1356 1452 1695 1815 1980 2034 2178 2260 2420 2486 3390 3630 3729 4068 4356 4972 5085 5445 6215 6780 7260 7458 10170 10890 11187 12430 13673 14916 18645 20340 21780 22374 24860 27346 37290 41019 44748 54692 55935 68365 74580 82038 111870 123057 136730 164076 205095 223740 246114 273460 410190 492228 615285 820380 1230570 2461140