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31054320 = 24335111307
BaseRepresentation
bin111011001110…
…1100111110000
32011102201112000
41312131213300
530422214240
63025334000
7524646243
oct166354760
964381460
1031054320
1116590630
12a497300
136583b4b
1441a525a
152ad6430
hex1d9d9f0

31054320 has 160 divisors (see below), whose sum is σ = 116778240. Its totient is φ = 7522560.

The previous prime is 31054297. The next prime is 31054333. The reversal of 31054320 is 2345013.

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

It is a junction number, because it is equal to n+sod(n) for n = 31054293 and 31054302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23107 + ... + 24413.

It is an arithmetic number, because the mean of its divisors is an integer number (729864).

Almost surely, 231054320 is an apocalyptic number.

31054320 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 31054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58389120).

31054320 is an abundant number, since it is smaller than the sum of its proper divisors (85723920).

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

31054320 is a wasteful number, since it uses less digits than its factorization.

31054320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 31054320 is about 5572.6403077895. The cubic root of 31054320 is about 314.3214418258.

Adding to 31054320 its reverse (2345013), we get a palindrome (33399333).

The spelling of 31054320 in words is "thirty-one million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1307 1320 1485 1584 1980 2160 2376 2614 2640 2970 3921 3960 4752 5228 5940 6535 7842 7920 10456 11763 11880 13070 14377 15684 19605 20912 23526 23760 26140 28754 31368 35289 39210 43131 47052 52280 57508 58815 62736 70578 71885 78420 86262 94104 104560 115016 117630 129393 141156 143770 156840 172524 176445 188208 215655 230032 235260 258786 282312 287540 313680 345048 352890 388179 431310 470520 517572 564624 575080 646965 690096 705780 776358 862620 941040 1035144 1150160 1293930 1411560 1552716 1725240 1940895 2070288 2587860 2823120 3105432 3450480 3881790 5175720 6210864 7763580 10351440 15527160 31054320