Search a number
-
+
31220160 = 2635171913
BaseRepresentation
bin111011100011…
…0000111000000
32011202011000020
41313012013000
530443021120
63033053440
7526236606
oct167060700
964664006
1031220160
1116694194
12a557280
13661148a
144209876
152b1a640
hex1dc61c0

31220160 has 112 divisors (see below), whose sum is σ = 105009696. Its totient is φ = 7831552.

The previous prime is 31220159. The next prime is 31220171. The reversal of 31220160 is 6102213.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15364 + ... + 17276.

Almost surely, 231220160 is an apocalyptic number.

31220160 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 31220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52504848).

31220160 is an abundant number, since it is smaller than the sum of its proper divisors (73789536).

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

31220160 is a wasteful number, since it uses less digits than its factorization.

31220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1940 counting only the distinct ones).

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

The square root of 31220160 is about 5587.5003355705. The cubic root of 31220160 is about 314.8799744282.

Adding to 31220160 its reverse (6102213), we get a palindrome (37322373).

The spelling of 31220160 in words is "thirty-one million, two hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 1913 2040 2720 3264 3826 4080 5440 5739 7652 8160 9565 11478 15304 16320 19130 22956 28695 30608 32521 38260 45912 57390 61216 65042 76520 91824 97563 114780 122432 130084 153040 162605 183648 195126 229560 260168 306080 325210 367296 390252 459120 487815 520336 612160 650420 780504 918240 975630 1040672 1300840 1561008 1836480 1951260 2081344 2601680 3122016 3902520 5203360 6244032 7805040 10406720 15610080 31220160