Search a number
-
+
31016160 = 25325717181
BaseRepresentation
bin111011001010…
…0010011100000
32011100210011200
41312110103200
530420004120
63024441200
7524430060
oct166242340
964323150
1031016160
111656499a
12a479200
13656c676
1441953a0
152ac9e90
hex1d944e0

31016160 has 288 divisors, whose sum is σ = 128786112. Its totient is φ = 6635520.

The previous prime is 31016159. The next prime is 31016171. The reversal of 31016160 is 6161013.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×310161602 = 1924004362291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 171270 + ... + 171450.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 231016160 is an apocalyptic number.

31016160 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 31016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056).

31016160 is an abundant number, since it is smaller than the sum of its proper divisors (97769952).

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

31016160 is a wasteful number, since it uses less digits than its factorization.

31016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 31016160 is about 5569.2153845941. The cubic root of 31016160 is about 314.1926414680.

Adding to 31016160 its reverse (6161013), we get a palindrome (37177173).

It can be divided in two parts, 3101 and 6160, that added together give a cube (9261 = 213).

The spelling of 31016160 in words is "thirty-one million, sixteen thousand, one hundred sixty".