[go: up one dir, main page]

Search a number
-
+
2108034720 = 25365113153
BaseRepresentation
bin111110110100110…
…0000111010100000
312102220122021000000
41331221200322200
513304124102340
6545102300000
7103144666551
oct17551407240
95386567000
102108034720
11991a26760
124a9b87600
1327797202c
1415dd7c328
15c5102d30
hex7da60ea0

2108034720 has 672 divisors, whose sum is σ = 8567161344. Its totient is φ = 485222400.

The previous prime is 2108034703. The next prime is 2108034727. The reversal of 2108034720 is 274308012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2108034727) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39774214 + ... + 39774266.

It is an arithmetic number, because the mean of its divisors is an integer number (12748752).

Almost surely, 22108034720 is an apocalyptic number.

2108034720 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 2108034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283580672).

2108034720 is an abundant number, since it is smaller than the sum of its proper divisors (6459126624).

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

2108034720 is a wasteful number, since it uses less digits than its factorization.

2108034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2108034720 is about 45913.3392381778. The cubic root of 2108034720 is about 1282.2102761983.

The spelling of 2108034720 in words is "two billion, one hundred eight million, thirty-four thousand, seven hundred twenty".