Search a number
-
+
31020 = 22351147
BaseRepresentation
bin111100100101100
31120112220
413210230
51443040
6355340
7156303
oct74454
946486
1031020
1121340
1215b50
1311172
14b43a
1592d0
hex792c

31020 has 48 divisors (see below), whose sum is σ = 96768. Its totient is φ = 7360.

The previous prime is 31019. The next prime is 31033. The reversal of 31020 is 2013.

31020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

231020 is an apocalyptic number.

31020 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 31020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

31020 is an abundant number, since it is smaller than the sum of its proper divisors (65748).

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

31020 is a wasteful number, since it uses less digits than its factorization.

31020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 31020 is about 176.1249556423. The cubic root of 31020 is about 31.4205607289.

Adding to 31020 its reverse (2013), we get a palindrome (33033).

The spelling of 31020 in words is "thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020