Search a number
-
+
2458740 = 223543953
BaseRepresentation
bin1001011000010001110100
311121220202110
421120101310
51112134430
6124411020
726620224
oct11302164
94556673
102458740
11142a319
129a6a70
1368119b
14480084
153387b0
hex258474

2458740 has 48 divisors (see below), whose sum is σ = 7051968. Its totient is φ = 639744.

The previous prime is 2458681. The next prime is 2458747. The reversal of 2458740 is 478542.

2458740 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2458698 and 2458707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2458747) 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, 2104 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (146916).

22458740 is an apocalyptic number.

2458740 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 2458740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525984).

2458740 is an abundant number, since it is smaller than the sum of its proper divisors (4593228).

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

2458740 is a wasteful number, since it uses less digits than its factorization.

2458740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2458740 is about 1568.0369893596. The cubic root of 2458740 is about 134.9700893954.

The spelling of 2458740 in words is "two million, four hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 953 1290 1906 2580 2859 3812 4765 5718 9530 11436 14295 19060 28590 40979 57180 81958 122937 163916 204895 245874 409790 491748 614685 819580 1229370 2458740