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31213040 = 2451013863
BaseRepresentation
bin111011100010…
…0010111110000
32011201210020112
41313010113300
530442304130
63033000452
7526210055
oct167042760
964653215
1031213040
1116689901
12a553128
13660b171
14420702c
152b18495
hex1dc45f0

31213040 has 40 divisors (see below), whose sum is σ = 73307808. Its totient is φ = 12358400.

The previous prime is 31213027. The next prime is 31213043. The reversal of 31213040 is 4031213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×312130403 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6149 + ... + 10011.

Almost surely, 231213040 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 31213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36653904).

31213040 is an abundant number, since it is smaller than the sum of its proper divisors (42094768).

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

31213040 is a wasteful number, since it uses less digits than its factorization.

31213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 31213040 is about 5586.8631628133. The cubic root of 31213040 is about 314.8560356670.

Adding to 31213040 its reverse (4031213), we get a palindrome (35244253).

The spelling of 31213040 in words is "thirty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 3863 4040 7726 8080 15452 19315 30904 38630 61808 77260 154520 309040 390163 780326 1560652 1950815 3121304 3901630 6242608 7803260 15606520 31213040