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31041040 = 245537321
BaseRepresentation
bin111011001101…
…0011000010000
32011102001022011
41312122120100
530421303130
63025152304
7524562442
oct166323020
964361264
1031041040
1116581658
12a48b694
13657aaa4
1441a0492
152ad252a
hex1d9a610

31041040 has 40 divisors (see below), whose sum is σ = 73542168. Its totient is φ = 12180480.

The previous prime is 31041029. The next prime is 31041061. The reversal of 31041040 is 4014013.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 30958096 = 288^2 + 5564^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 31041040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 7900.

Almost surely, 231041040 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 31041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771084).

31041040 is an abundant number, since it is smaller than the sum of its proper divisors (42501128).

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

31041040 is a wasteful number, since it uses less digits than its factorization.

31041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 31041040 is about 5571.4486446525. The cubic root of 31041040 is about 314.2766301979.

Adding to 31041040 its reverse (4014013), we get a palindrome (35055053).

The spelling of 31041040 in words is "thirty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 7321 14642 29284 36605 58568 73210 117136 146420 292840 388013 585680 776026 1552052 1940065 3104104 3880130 6208208 7760260 15520520 31041040