Search a number
-
+
31086720 = 273357257
BaseRepresentation
bin111011010010…
…1100010000000
32011111100222000
41312211202000
530424233340
63030144000
7525142560
oct166454200
964440860
1031086720
1116602a05
12a4b2000
136595812
1441b2da0
152ae0d30
hex1da5880

31086720 has 256 divisors, whose sum is σ = 126316800. Its totient is φ = 7077888.

The previous prime is 31086719. The next prime is 31086743. The reversal of 31086720 is 2768013.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120832 + ... + 121088.

It is an arithmetic number, because the mean of its divisors is an integer number (493425).

Almost surely, 231086720 is an apocalyptic number.

31086720 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 31086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63158400).

31086720 is an abundant number, since it is smaller than the sum of its proper divisors (95230080).

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

31086720 is a wasteful number, since it uses less digits than its factorization.

31086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 31086720 is about 5575.5466099747. The cubic root of 31086720 is about 314.4307178191.

The spelling of 31086720 in words is "thirty-one million, eighty-six thousand, seven hundred twenty".