Search a number
-
+
2180939040 = 253357210303
BaseRepresentation
bin1000000111111110…
…0111110100100000
312121222211011221000
42001333213310200
513431310022130
61000225032000
7105021450600
oct20177476440
95558734830
102180939040
11a1a0a0865
1250a485600
13289ab9797
14169918c00
15cb704260
hex81fe7d20

2180939040 has 288 divisors, whose sum is σ = 8880399360. Its totient is φ = 498451968.

The previous prime is 2180939023. The next prime is 2180939053. The reversal of 2180939040 is 409390812.

2180939040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21809390402 = 9512990192392243200, which contains 22 as substring.

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 = 2180938986 and 2180939004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206529 + ... + 216831.

It is an arithmetic number, because the mean of its divisors is an integer number (30834720).

Almost surely, 22180939040 is an apocalyptic number.

2180939040 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 2180939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440199680).

2180939040 is an abundant number, since it is smaller than the sum of its proper divisors (6699460320).

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

2180939040 is a wasteful number, since it uses less digits than its factorization.

2180939040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2180939040 is about 46700.5250505816. The cubic root of 2180939040 is about 1296.8244068829.

The spelling of 2180939040 in words is "two billion, one hundred eighty million, nine hundred thirty-nine thousand, forty".