Search a number
-
+
2111235840 = 2834572909
BaseRepresentation
bin111110111010110…
…1110011100000000
312110010122220010000
41331311232130000
513310434021330
6545255040000
7103214131350
oct17565563400
95403586100
102111235840
1199381280a
124ab070000
1327852309c
14160572b60
15c5536560
hex7dd6e700

2111235840 has 360 divisors, whose sum is σ = 8636554080. Its totient is φ = 482402304.

The previous prime is 2111235809. The next prime is 2111235857. The reversal of 2111235840 is 485321112.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724306 + ... + 727214.

It is an arithmetic number, because the mean of its divisors is an integer number (23990428).

Almost surely, 22111235840 is an apocalyptic number.

2111235840 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 2111235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318277040).

2111235840 is an abundant number, since it is smaller than the sum of its proper divisors (6525318240).

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

2111235840 is an equidigital number, since it uses as much as digits as its factorization.

2111235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2111235840 is about 45948.1864712852. The cubic root of 2111235840 is about 1282.8589741002.

Adding to 2111235840 its reverse (485321112), we get a palindrome (2596556952).

The spelling of 2111235840 in words is "two billion, one hundred eleven million, two hundred thirty-five thousand, eight hundred forty".