Search a number
-
+
31197660 = 223513233747
BaseRepresentation
bin111011100000…
…0100111011100
32011201000010220
41313000213130
530441311120
63032401340
7526114164
oct167004734
964630126
1031197660
111667929a
12a546250
136604170
1442015a4
152b13b40
hex1dc09dc

31197660 has 192 divisors, whose sum is σ = 102961152. Its totient is φ = 6994944.

The previous prime is 31197659. The next prime is 31197689. The reversal of 31197660 is 6679113.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 663757 + ... + 663803.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 231197660 is an apocalyptic number.

31197660 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 31197660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576).

31197660 is an abundant number, since it is smaller than the sum of its proper divisors (71763492).

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

31197660 is a wasteful number, since it uses less digits than its factorization.

31197660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 31197660 is about 5585.4865499793. The cubic root of 31197660 is about 314.8043128249.

The spelling of 31197660 in words is "thirty-one million, one hundred ninety-seven thousand, six hundred sixty".