Search a number
-
+
31321080 = 2334571381
BaseRepresentation
bin111011101111…
…0101111111000
32011221021110000
41313132233320
531004233310
63035153000
7530140050
oct167365770
964837400
1031321080
1116752a9a
12a5a5760
1366483ab
144234560
152b3a4c0
hex1ddebf8

31321080 has 160 divisors (see below), whose sum is σ = 120399840. Its totient is φ = 7153920.

The previous prime is 31321057. The next prime is 31321109. The reversal of 31321080 is 8012313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21990 + ... + 23370.

It is an arithmetic number, because the mean of its divisors is an integer number (752499).

Almost surely, 231321080 is an apocalyptic number.

31321080 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 31321080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60199920).

31321080 is an abundant number, since it is smaller than the sum of its proper divisors (89078760).

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

31321080 is a wasteful number, since it uses less digits than its factorization.

31321080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31321080 is about 5596.5239211496. The cubic root of 31321080 is about 315.2188954720.

Adding to 31321080 its reverse (8012313), we get a palindrome (39333393).

The spelling of 31321080 in words is "thirty-one million, three hundred twenty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1381 1512 1620 1890 2268 2520 2762 2835 3240 3780 4143 4536 5524 5670 6905 7560 8286 9667 11048 11340 12429 13810 16572 19334 20715 22680 24858 27620 29001 33144 37287 38668 41430 48335 49716 55240 58002 62145 74574 77336 82860 87003 96670 99432 111861 116004 124290 145005 149148 165720 174006 186435 193340 223722 232008 248580 261009 290010 298296 348012 372870 386680 435015 447444 497160 522018 559305 580020 696024 745740 783027 870030 894888 1044036 1118610 1160040 1305045 1491480 1566054 1740060 2088072 2237220 2610090 3132108 3480120 3915135 4474440 5220180 6264216 7830270 10440360 15660540 31321080