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31125240 = 23325312789
BaseRepresentation
bin111011010111…
…0111011111000
32011120022210200
41312232323320
530432001430
63031042200
7525363066
oct166567370
964508720
1031125240
1116629943
12a510360
1365aa203
1441c3036
152aec460
hex1daeef8

31125240 has 96 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 8029440.

The previous prime is 31125239. The next prime is 31125247. The reversal of 31125240 is 4252113.

It is a Cunningham number, because it is equal to 55792-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31125247) 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 23 ways as a sum of consecutive naturals, for example, 9766 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (1088100).

Almost surely, 231125240 is an apocalyptic number.

31125240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

31125240 is an abundant number, since it is smaller than the sum of its proper divisors (73332360).

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

31125240 is a wasteful number, since it uses less digits than its factorization.

31125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 31125240 is about 5578.9999103782. Note that the first 4 decimals coincide. The cubic root of 31125240 is about 314.5605360827.

Adding to 31125240 its reverse (4252113), we get a palindrome (35377353).

The spelling of 31125240 in words is "thirty-one million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2789 2790 3720 5578 5580 8367 11156 11160 13945 16734 22312 25101 27890 33468 41835 50202 55780 66936 83670 86459 100404 111560 125505 167340 172918 200808 251010 259377 334680 345836 432295 502020 518754 691672 778131 864590 1004040 1037508 1296885 1556262 1729180 2075016 2593770 3112524 3458360 3890655 5187540 6225048 7781310 10375080 15562620 31125240