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31140252 = 2232111323263
BaseRepresentation
bin111011011001…
…0100110011100
32011121002101200
41312302212130
530432442002
63031235500
7525454623
oct166624634
964532350
1031140252
111663a150
12a518b90
1365b3cb0
1441c86ba
152b01b1c
hex1db299c

31140252 has 144 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 8300160.

The previous prime is 31140251. The next prime is 31140253. The reversal of 31140252 is 25204113.

It is an interprime number because it is at equal distance from previous prime (31140251) and next prime (31140253).

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 (31140251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118273 + ... + 118535.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 231140252 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 31140252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).

31140252 is an abundant number, since it is smaller than the sum of its proper divisors (65724516).

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

31140252 is a wasteful number, since it uses less digits than its factorization.

31140252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

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

The square root of 31140252 is about 5580.3451506157. The cubic root of 31140252 is about 314.6110998029.

Adding to 31140252 its reverse (25204113), we get a palindrome (56344365).

The spelling of 31140252 in words is "thirty-one million, one hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 23 26 33 36 39 44 46 52 66 69 78 92 99 117 132 138 143 156 198 207 234 253 263 276 286 299 396 414 429 468 506 526 572 598 759 789 828 858 897 1012 1052 1196 1287 1518 1578 1716 1794 2277 2367 2574 2691 2893 3036 3156 3289 3419 3588 4554 4734 5148 5382 5786 6049 6578 6838 8679 9108 9468 9867 10257 10764 11572 12098 13156 13676 17358 18147 19734 20514 24196 26037 29601 30771 34716 36294 37609 39468 41028 52074 54441 59202 61542 66539 72588 75218 78637 104148 108882 112827 118404 123084 133078 150436 157274 199617 217764 225654 235911 266156 314548 338481 399234 451308 471822 598851 676962 707733 798468 865007 943644 1197702 1353924 1415466 1730014 2395404 2595021 2830932 3460028 5190042 7785063 10380084 15570126 31140252