Search a number
-
+
2931370806 = 23721319371091
BaseRepresentation
bin1010111010111001…
…0010101100110110
321120021220001210010
42232232102230312
522000412331211
61202513241050
7132433145400
oct25656225466
97507801703
102931370806
111274756301
12699863186
13379405950
141db45db70
151225394a6
hexaeb92b36

2931370806 has 192 divisors, whose sum is σ = 7947313920. Its totient is φ = 711970560.

The previous prime is 2931370753. The next prime is 2931370829. The reversal of 2931370806 is 6080731392.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2686321 + ... + 2687411.

It is an arithmetic number, because the mean of its divisors is an integer number (41392260).

Almost surely, 22931370806 is an apocalyptic number.

2931370806 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2931370806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973656960).

2931370806 is an abundant number, since it is smaller than the sum of its proper divisors (5015943114).

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

2931370806 is a wasteful number, since it uses less digits than its factorization.

2931370806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2931370806 is about 54142.1352183306. The cubic root of 2931370806 is about 1431.1667993409.

The spelling of 2931370806 in words is "two billion, nine hundred thirty-one million, three hundred seventy thousand, eight hundred six".