Search a number
-
+
31360020 = 22352967269
BaseRepresentation
bin111011110100…
…0010000010100
32012000020212020
41313220100110
531012010040
63040053140
7530361426
oct167502024
965006766
1031360020
111677a27a
12a6041b0
136660033
144244816
152b46cd0
hex1de8414

31360020 has 96 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 7924224.

The previous prime is 31359967. The next prime is 31360027. The reversal of 31360020 is 2006313.

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

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31360027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116446 + ... + 116714.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 231360020 is an apocalyptic number.

31360020 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 31360020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

31360020 is an abundant number, since it is smaller than the sum of its proper divisors (61174380).

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

31360020 is a wasteful number, since it uses less digits than its factorization.

31360020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 31360020 is about 5600.0017857140. The cubic root of 31360020 is about 315.3494735628.

Adding to 31360020 its reverse (2006313), we get a palindrome (33366333).

The spelling of 31360020 in words is "thirty-one million, three hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 67 87 116 134 145 174 201 268 269 290 335 348 402 435 538 580 670 804 807 870 1005 1076 1340 1345 1614 1740 1943 2010 2690 3228 3886 4020 4035 5380 5829 7772 7801 8070 9715 11658 15602 16140 18023 19430 23316 23403 29145 31204 36046 38860 39005 46806 54069 58290 72092 78010 90115 93612 108138 116580 117015 156020 180230 216276 234030 270345 360460 468060 522667 540690 1045334 1081380 1568001 2090668 2613335 3136002 5226670 6272004 7840005 10453340 15680010 31360020