Search a number
-
+
2154479040 = 2633573727
BaseRepresentation
bin1000000001101010…
…1011110111000000
312120011000212122000
42000122223313000
513403021312130
6553441544000
7104250525000
oct20032536700
95504025560
102154479040
11a06168a9a
12501645000
13284483b8c
141661cc000
15c9229260
hex806abdc0

2154479040 has 448 divisors, whose sum is σ = 8875776000. Its totient is φ = 491774976.

The previous prime is 2154479039. The next prime is 2154479051. The reversal of 2154479040 is 409744512.

It is a happy number.

2154479040 is a `hidden beast` number, since 2 + 1 + 544 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 2154478986 and 2154479004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963157 + ... + 2963883.

It is an arithmetic number, because the mean of its divisors is an integer number (19812000).

Almost surely, 22154479040 is an apocalyptic number.

2154479040 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 2154479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437888000).

2154479040 is an abundant number, since it is smaller than the sum of its proper divisors (6721296960).

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

2154479040 is an equidigital number, since it uses as much as digits as its factorization.

2154479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2154479040 is about 46416.3660792182. The cubic root of 2154479040 is about 1291.5585273232.

The spelling of 2154479040 in words is "two billion, one hundred fifty-four million, four hundred seventy-nine thousand, forty".