Search a number
-
+
2460491040 = 253571794091
BaseRepresentation
bin1001001010101000…
…0001110100100000
320100110211220011210
42102222001310200
520014341203130
61044052510120
7114654554160
oct22252016440
96313756153
102460491040
111052979377
1258801b340
133029a8277
14194ac85a0
15e60245b0
hex92a81d20

2460491040 has 192 divisors, whose sum is σ = 8909429760. Its totient is φ = 559119360.

The previous prime is 2460491023. The next prime is 2460491071. The reversal of 2460491040 is 401940642.

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 = 2460490989 and 2460491007.

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 31 ways as a sum of consecutive naturals, for example, 599395 + ... + 603485.

It is an arithmetic number, because the mean of its divisors is an integer number (46403280).

Almost surely, 22460491040 is an apocalyptic number.

2460491040 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 2460491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454714880).

2460491040 is an abundant number, since it is smaller than the sum of its proper divisors (6448938720).

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

2460491040 is a wasteful number, since it uses less digits than its factorization.

2460491040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2460491040 is about 49603.3369845215. The cubic root of 2460491040 is about 1350.0212232603.

The spelling of 2460491040 in words is "two billion, four hundred sixty million, four hundred ninety-one thousand, forty".