Search a number
-
+
2493090120 = 2335174397293
BaseRepresentation
bin1001010010011001…
…1000100101001000
320102202012002201010
42110212120211020
520101212340440
61051215323520
7115531626213
oct22446304510
96382162633
102493090120
11106a314564
12596b205a0
13309680271
1419917277a
15e8d13580
hex94998948

2493090120 has 256 divisors, whose sum is σ = 8214877440. Its totient is φ = 602800128.

The previous prime is 2493090097. The next prime is 2493090133. The reversal of 2493090120 is 210903942.

It is a super-2 number, since 2×24930901202 = 12430996692883228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8508694 + ... + 8508986.

It is an arithmetic number, because the mean of its divisors is an integer number (32089365).

Almost surely, 22493090120 is an apocalyptic number.

2493090120 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 2493090120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107438720).

2493090120 is an abundant number, since it is smaller than the sum of its proper divisors (5721787320).

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

2493090120 is a wasteful number, since it uses less digits than its factorization.

2493090120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2493090120 is about 49930.8533874597. The cubic root of 2493090120 is about 1355.9572344915.

The spelling of 2493090120 in words is "two billion, four hundred ninety-three million, ninety thousand, one hundred twenty".