Search a number
-
+
31141440 = 2632511983
BaseRepresentation
bin111011011001…
…0111001000000
32011121011000200
41312302321000
530433011230
63031245200
7525461241
oct166627100
964534020
1031141440
1116640030
12a519800
1365b46b5
1441c8cc8
152b02160
hex1db2e40

31141440 has 168 divisors, whose sum is σ = 116970048. Its totient is φ = 7541760.

The previous prime is 31141403. The next prime is 31141441. The reversal of 31141440 is 4414113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31141441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31189 + ... + 32171.

Almost surely, 231141440 is an apocalyptic number.

31141440 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 31141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58485024).

31141440 is an abundant number, since it is smaller than the sum of its proper divisors (85828608).

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

31141440 is a wasteful number, since it uses less digits than its factorization.

31141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 31141440 is about 5580.4515946292. The cubic root of 31141440 is about 314.6151005545.

Adding to 31141440 its reverse (4414113), we get a palindrome (35555553).

It can be divided in two parts, 3114 and 1440, that added together give a palindrome (4554).

The spelling of 31141440 in words is "thirty-one million, one hundred forty-one thousand, four hundred forty".