Search a number
-
+
2032011140 = 225377934759
BaseRepresentation
bin111100100011110…
…0000011110000100
312020121120212020212
41321013200132010
513130143324030
6533345014552
7101232544505
oct17107403604
95217525225
102032011140
11953021055
12488624458
13264ca4873
14153c2cbac
15bd5d7595
hex791e0784

2032011140 has 48 divisors (see below), whose sum is σ = 4438156800. Its totient is φ = 780803712.

The previous prime is 2032011083. The next prime is 2032011143. The reversal of 2032011140 is 411102302.

It is not an unprimeable number, because it can be changed into a prime (2032011143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41081 + ... + 75839.

It is an arithmetic number, because the mean of its divisors is an integer number (92461600).

Almost surely, 22032011140 is an apocalyptic number.

2032011140 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 2032011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219078400).

2032011140 is an abundant number, since it is smaller than the sum of its proper divisors (2406145660).

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

2032011140 is a wasteful number, since it uses less digits than its factorization.

2032011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34884 (or 34882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2032011140 is about 45077.8342425632. The cubic root of 2032011140 is about 1266.6074208978.

Adding to 2032011140 its reverse (411102302), we get a palindrome (2443113442).

The spelling of 2032011140 in words is "two billion, thirty-two million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 370 395 740 790 1580 2923 5846 11692 14615 29230 34759 58460 69518 139036 173795 347590 695180 1286083 2572166 2745961 5144332 5491922 6430415 10983844 12860830 13729805 25721660 27459610 54919220 101600557 203201114 406402228 508002785 1016005570 2032011140