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31320040 = 2351934057
BaseRepresentation
bin111011101111…
…0011111101000
32011221020000111
41313132133220
531004220130
63035144104
7530134033
oct167363750
964836014
1031320040
1116752234
12a5a5034
136647a8b
14423401a
152b3a02a
hex1dde7e8

31320040 has 32 divisors (see below), whose sum is σ = 70852680. Its totient is φ = 12460032.

The previous prime is 31320011. The next prime is 31320041. The reversal of 31320040 is 4002313.

It can be written as a sum of positive squares in 4 ways, for example, as 21548164 + 9771876 = 4642^2 + 3126^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31320040.

It is not an unprimeable number, because it can be changed into a prime (31320041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5692 + ... + 9748.

Almost surely, 231320040 is an apocalyptic number.

It is an amenable number.

31320040 is an abundant number, since it is smaller than the sum of its proper divisors (39532640).

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

31320040 is a wasteful number, since it uses less digits than its factorization.

31320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 31320040 is about 5596.4310055606. The cubic root of 31320040 is about 315.2154065408.

Adding to 31320040 its reverse (4002313), we get a palindrome (35322353).

The spelling of 31320040 in words is "thirty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 193 386 772 965 1544 1930 3860 4057 7720 8114 16228 20285 32456 40570 81140 162280 783001 1566002 3132004 3915005 6264008 7830010 15660020 31320040