Search a number
-
+
31160220 = 22357132439
BaseRepresentation
bin111011011011…
…1011110011100
32011122002210020
41312313132130
530434111340
63031512140
7525600060
oct166673634
964562706
1031160220
1116653153
12a528650
1365c0100
1441d1aa0
152b079d0
hex1db779c

31160220 has 144 divisors (see below), whose sum is σ = 108218880. Its totient is φ = 6559488.

The previous prime is 31160189. The next prime is 31160231. The reversal of 31160220 is 2206113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31160220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70761 + ... + 71199.

It is an arithmetic number, because the mean of its divisors is an integer number (751520).

Almost surely, 231160220 is an apocalyptic number.

31160220 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 31160220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54109440).

31160220 is an abundant number, since it is smaller than the sum of its proper divisors (77058660).

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

31160220 is a wasteful number, since it uses less digits than its factorization.

31160220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

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

The square root of 31160220 is about 5582.1340005414. The cubic root of 31160220 is about 314.6783312451.

Adding to 31160220 its reverse (2206113), we get a palindrome (33366333).

The spelling of 31160220 in words is "thirty-one million, one hundred sixty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 169 182 195 210 260 273 338 364 390 420 439 455 507 546 676 780 845 878 910 1014 1092 1183 1317 1365 1690 1756 1820 2028 2195 2366 2535 2634 2730 3073 3380 3549 4390 4732 5070 5268 5460 5707 5915 6146 6585 7098 8780 9219 10140 11414 11830 12292 13170 14196 15365 17121 17745 18438 22828 23660 26340 28535 30730 34242 35490 36876 39949 46095 57070 61460 68484 70980 74191 79898 85605 92190 114140 119847 148382 159796 171210 184380 199745 222573 239694 296764 342420 370955 399490 445146 479388 519337 599235 741910 798980 890292 1038674 1112865 1198470 1483820 1558011 2077348 2225730 2396940 2596685 3116022 4451460 5193370 6232044 7790055 10386740 15580110 31160220