Search a number
-
+
31131420 = 223517231327
BaseRepresentation
bin111011011000…
…0011100011100
32011120122021120
41312300130130
530432201140
63031130540
7525420105
oct166603434
964518246
1031131420
1116633551
12a513a50
1365acc78
1441c53ac
152aee1d0
hex1db071c

31131420 has 96 divisors (see below), whose sum is σ = 96380928. Its totient is φ = 7468032.

The previous prime is 31131407. The next prime is 31131421. The reversal of 31131420 is 2413113.

It is a super-2 number, since 2×311314202 = 1938330622432800, which contains 22 as substring.

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 31131420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22797 + ... + 24123.

It is an arithmetic number, because the mean of its divisors is an integer number (1003968).

Almost surely, 231131420 is an apocalyptic number.

31131420 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 31131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48190464).

31131420 is an abundant number, since it is smaller than the sum of its proper divisors (65249508).

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

31131420 is a wasteful number, since it uses less digits than its factorization.

31131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1377 counting only the distinct ones).

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

The square root of 31131420 is about 5579.5537455965. The cubic root of 31131420 is about 314.5813536514.

Adding to 31131420 its reverse (2413113), we get a palindrome (33544533).

The spelling of 31131420 in words is "thirty-one million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1327 1380 1564 1955 2346 2654 3910 3981 4692 5308 5865 6635 7820 7962 11730 13270 15924 19905 22559 23460 26540 30521 39810 45118 61042 67677 79620 90236 91563 112795 122084 135354 152605 183126 225590 270708 305210 338385 366252 451180 457815 518857 610420 676770 915630 1037714 1353540 1556571 1831260 2075428 2594285 3113142 5188570 6226284 7782855 10377140 15565710 31131420