Search a number
-
+
31144512 = 263723173
BaseRepresentation
bin111011011001…
…1101001000000
32011121022020110
41312303221000
530433111022
63031311320
7525503220
oct166635100
964538213
1031144512
1116642373
12a51b540
1365b5c09
1441ca080
152b0300c
hex1db3a40

31144512 has 56 divisors (see below), whose sum is σ = 94179136. Its totient is φ = 8898048.

The previous prime is 31144511. The next prime is 31144517. The reversal of 31144512 is 21544113.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (31144511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10243 + ... + 12930.

Almost surely, 231144512 is an apocalyptic number.

31144512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31144512 is an abundant number, since it is smaller than the sum of its proper divisors (63034624).

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

31144512 is a wasteful number, since it uses less digits than its factorization.

31144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23195 (or 23185 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 31144512 is about 5580.7268343828. The cubic root of 31144512 is about 314.6254454605.

Adding to 31144512 its reverse (21544113), we get a palindrome (52688625).

It can be divided in two parts, 3114 and 4512, that added together give a triangular number (7626 = T123).

The spelling of 31144512 in words is "thirty-one million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 23173 46346 69519 92692 139038 162211 185384 278076 324422 370768 486633 556152 648844 741536 973266 1112304 1297688 1483072 1946532 2224608 2595376 3893064 4449216 5190752 7786128 10381504 15572256 31144512