Search a number
-
+
31111140 = 2235737103
BaseRepresentation
bin111011010101…
…1011111100100
32011112121110110
41312223133210
530431024030
63030453020
7525304014
oct166533744
964477413
1031111140
111661a295
12a504170
1365a3978
1441bbc44
152ae81b0
hex1dab7e4

31111140 has 48 divisors (see below), whose sum is σ = 88316928. Its totient is φ = 8181504.

The previous prime is 31111127. The next prime is 31111141. The reversal of 31111140 is 4111113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31111141) 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, 829 + ... + 7931.

It is an arithmetic number, because the mean of its divisors is an integer number (1839936).

Almost surely, 231111140 is an apocalyptic number.

31111140 is a gapful number since it is divisible by the number (30) 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 31111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44158464).

31111140 is an abundant number, since it is smaller than the sum of its proper divisors (57205788).

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

31111140 is a wasteful number, since it uses less digits than its factorization.

31111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 31111140 is about 5577.7360998886. The cubic root of 31111140 is about 314.5130293703.

Adding to 31111140 its reverse (4111113), we get a palindrome (35222253).

The spelling of 31111140 in words is "thirty-one million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 7103 14206 21309 28412 35515 42618 71030 85236 106545 142060 213090 426180 518519 1037038 1555557 2074076 2592595 3111114 5185190 6222228 7777785 10370380 15555570 31111140