Search a number
-
+
31663020 = 2235737229
BaseRepresentation
bin111100011001…
…0001110101100
32012120122111110
41320302032230
531101204040
63050352020
7533063004
oct170621654
965518443
1031663020
1116966994
12a72b610
136737c1c
1442c3004
152ba6980
hex1e323ac

31663020 has 48 divisors (see below), whose sum is σ = 89883360. Its totient is φ = 8326656.

The previous prime is 31663013. The next prime is 31663057. The reversal of 31663020 is 2036613.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 766 + ... + 7994.

It is an arithmetic number, because the mean of its divisors is an integer number (1872570).

Almost surely, 231663020 is an apocalyptic number.

31663020 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 31663020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44941680).

31663020 is an abundant number, since it is smaller than the sum of its proper divisors (58220340).

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

31663020 is a wasteful number, since it uses less digits than its factorization.

31663020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 31663020 is about 5626.9903145465. The cubic root of 31663020 is about 316.3618538136.

Adding to 31663020 its reverse (2036613), we get a palindrome (33699633).

It can be divided in two parts, 316 and 63020, that added together give a palindrome (63336).

The spelling of 31663020 in words is "thirty-one million, six hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 7229 14458 21687 28916 36145 43374 72290 86748 108435 144580 216870 433740 527717 1055434 1583151 2110868 2638585 3166302 5277170 6332604 7915755 10554340 15831510 31663020