Search a number
-
+
31081320 = 2334553181
BaseRepresentation
bin111011010010…
…0001101101000
32011111002120000
41312210031220
530424100240
63030103000
7525121044
oct166441550
964432500
1031081320
11165a9946
12a4aaa60
13659321a
1441b1024
152ade430
hex1da4368

31081320 has 160 divisors (see below), whose sum is σ = 107026920. Its totient is φ = 8087040.

The previous prime is 31081319. The next prime is 31081331. The reversal of 31081320 is 2318013.

It can be written as a sum of positive squares in 4 ways, for example, as 18507204 + 12574116 = 4302^2 + 3546^2 .

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 = 31081293 and 31081302.

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, 171630 + ... + 171810.

Almost surely, 231081320 is an apocalyptic number.

31081320 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 31081320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53513460).

31081320 is an abundant number, since it is smaller than the sum of its proper divisors (75945600).

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

31081320 is a wasteful number, since it uses less digits than its factorization.

31081320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

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

The square root of 31081320 is about 5575.0623314901. The cubic root of 31081320 is about 314.4125104281.

Adding to 31081320 its reverse (2318013), we get a palindrome (33399333).

The spelling of 31081320 in words is "thirty-one million, eighty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 181 212 216 265 270 318 324 360 362 405 424 477 530 540 543 636 648 724 795 810 905 954 1060 1080 1086 1272 1431 1448 1590 1620 1629 1810 1908 2120 2172 2385 2715 2862 3180 3240 3258 3620 3816 4293 4344 4770 4887 5430 5724 6360 6516 7155 7240 8145 8586 9540 9593 9774 10860 11448 13032 14310 14661 16290 17172 19080 19186 19548 21465 21720 24435 28620 28779 29322 32580 34344 38372 39096 42930 47965 48870 57240 57558 58644 65160 73305 76744 85860 86337 95930 97740 115116 117288 143895 146610 171720 172674 191860 195480 230232 259011 287790 293220 345348 383720 431685 518022 575580 586440 690696 777033 863370 1036044 1151160 1295055 1554066 1726740 2072088 2590110 3108132 3453480 3885165 5180220 6216264 7770330 10360440 15540660 31081320