Search a number
-
+
31112440 = 2354161311
BaseRepresentation
bin111011010101…
…1110011111000
32011112200020121
41312223303320
530431044230
63030503024
7525310552
oct166536370
964480217
1031112440
1116620267
12a504a74
1365a4438
1441bc4d2
152ae877a
hex1dabcf8

31112440 has 64 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 11904000.

The previous prime is 31112401. The next prime is 31112441. The reversal of 31112440 is 4421113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31112441) 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, 99885 + ... + 100195.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 231112440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

31112440 is an abundant number, since it is smaller than the sum of its proper divisors (42007880).

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

31112440 is a wasteful number, since it uses less digits than its factorization.

31112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 31112440 is about 5577.8526334065. The cubic root of 31112440 is about 314.5174100224.

Adding to 31112440 its reverse (4421113), we get a palindrome (35533553).

The spelling of 31112440 in words is "thirty-one million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 311 328 410 488 610 622 820 1220 1244 1555 1640 2440 2488 2501 3110 5002 6220 10004 12440 12505 12751 18971 20008 25010 25502 37942 50020 51004 63755 75884 94855 100040 102008 127510 151768 189710 255020 379420 510040 758840 777811 1555622 3111244 3889055 6222488 7778110 15556220 31112440