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31003080 = 23352347239
BaseRepresentation
bin111011001000…
…1000111001000
32011100010020020
41312101013020
530414044310
63024300440
7524343663
oct166210710
964303206
1031003080
1116556089
12a471720
136566724
1441906da
152ac6170
hex1d911c8

31003080 has 128 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 7707392.

The previous prime is 31003051. The next prime is 31003081. The reversal of 31003080 is 8030013.

It is a super-2 number, since 2×310030802 = 1922381938972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (31003081) 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 31 ways as a sum of consecutive naturals, for example, 129601 + ... + 129839.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 231003080 is an apocalyptic number.

31003080 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 31003080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766400).

31003080 is an abundant number, since it is smaller than the sum of its proper divisors (68529720).

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

31003080 is a wasteful number, since it uses less digits than its factorization.

31003080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31003080 is about 5568.0409481253. The cubic root of 31003080 is about 314.1484686069.

Adding to 31003080 its reverse (8030013), we get a palindrome (39033093).

The spelling of 31003080 in words is "thirty-one million, three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 47 60 69 92 94 115 120 138 141 184 188 230 235 239 276 282 345 376 460 470 478 552 564 690 705 717 920 940 956 1081 1128 1195 1380 1410 1434 1880 1912 2162 2390 2760 2820 2868 3243 3585 4324 4780 5405 5497 5640 5736 6486 7170 8648 9560 10810 10994 11233 12972 14340 16215 16491 21620 21988 22466 25944 27485 28680 32430 32982 33699 43240 43976 44932 54970 56165 64860 65964 67398 82455 89864 109940 112330 129720 131928 134796 164910 168495 219880 224660 258359 269592 329820 336990 449320 516718 659640 673980 775077 1033436 1291795 1347960 1550154 2066872 2583590 3100308 3875385 5167180 6200616 7750770 10334360 15501540 31003080