Search a number
-
+
2641464 = 233371747
BaseRepresentation
bin1010000100111000111000
311222012102000
422010320320
51134011324
6132341000
731311030
oct12047070
94865360
102641464
111544631
12a74760
137163c7
144ca8c0
153729c9
hex284e38

2641464 has 64 divisors (see below), whose sum is σ = 8390400. Its totient is φ = 754272.

The previous prime is 2641459. The next prime is 2641469. The reversal of 2641464 is 4641462.

It is an interprime number because it is at equal distance from previous prime (2641459) and next prime (2641469).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641469) 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, 639 + ... + 2385.

It is an arithmetic number, because the mean of its divisors is an integer number (131100).

22641464 is an apocalyptic number.

2641464 is a gapful number since it is divisible by the number (24) 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 2641464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195200).

2641464 is an abundant number, since it is smaller than the sum of its proper divisors (5748936).

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

2641464 is a wasteful number, since it uses less digits than its factorization.

2641464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1759 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2641464 is about 1625.2581333437. The cubic root of 2641464 is about 138.2340075045.

It can be divided in two parts, 264 and 1464, that added together give a cube (1728 = 123).

The spelling of 2641464 in words is "two million, six hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1747 3494 5241 6988 10482 12229 13976 15723 20964 24458 31446 36687 41928 47169 48916 62892 73374 94338 97832 110061 125784 146748 188676 220122 293496 330183 377352 440244 660366 880488 1320732 2641464