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31007940 = 22354491151
BaseRepresentation
bin111011001001…
…0010011000100
32011100100220020
41312102103010
530414223230
63024335140
7524364105
oct166222304
964310806
1031007940
11165597a7
12a4744b0
1365689c2
1441923ac
152ac7810
hex1d924c4

31007940 has 48 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 8243200.

The previous prime is 31007929. The next prime is 31007941. The reversal of 31007940 is 4970013.

It is a super-2 number, since 2×310079402 = 1922984686087200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31007940.

It is not an unprimeable number, because it can be changed into a prime (31007941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26365 + ... + 27515.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 231007940 is an apocalyptic number.

31007940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31007940 is an abundant number, since it is smaller than the sum of its proper divisors (56083260).

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

31007940 is a wasteful number, since it uses less digits than its factorization.

31007940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 31007940 is about 5568.4773502278. The cubic root of 31007940 is about 314.1648829092.

Adding to 31007940 its reverse (4970013), we get a palindrome (35977953).

The spelling of 31007940 in words is "thirty-one million, seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 449 898 1151 1347 1796 2245 2302 2694 3453 4490 4604 5388 5755 6735 6906 8980 11510 13470 13812 17265 23020 26940 34530 69060 516799 1033598 1550397 2067196 2583995 3100794 5167990 6201588 7751985 10335980 15503970 31007940