Search a number
-
+
2496960 = 26335172
BaseRepresentation
bin1001100001100111000000
311200212012000
421201213000
51114400320
6125304000
730136524
oct11414700
94625160
102496960
111456004
12a05000
136956bb
1448dd84
15344c90
hex2619c0

2496960 has 168 divisors, whose sum is σ = 9357360. Its totient is φ = 626688.

The previous prime is 2496937. The next prime is 2496973. The reversal of 2496960 is 696942.

2496960 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146872 + ... + 146888.

22496960 is an apocalyptic number.

2496960 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 2496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678680).

2496960 is an abundant number, since it is smaller than the sum of its proper divisors (6860400).

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

2496960 is a wasteful number, since it uses less digits than its factorization.

2496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2496960 is about 1580.1772052526. The cubic root of 2496960 is about 135.6658463194.

The spelling of 2496960 in words is "two million, four hundred ninety-six thousand, nine hundred sixty".