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31150080 = 212325132
BaseRepresentation
bin111011011010…
…1000000000000
32011121120212200
41312311000000
530433300310
63031353200
7525525363
oct166650000
964546780
1031150080
1116646575
12a522800
1365b8600
1441cc0da
152b049c0
hex1db5000

31150080 has 234 divisors, whose sum is σ = 116918334. Its totient is φ = 7667712.

The previous prime is 31150057. The next prime is 31150087. The reversal of 31150080 is 8005113.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 31002624 = 384^2 + 5568^2 .

It is a tau number, because it is divible by the number of its divisors (234).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31150087) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2396154 + ... + 2396166.

It is an arithmetic number, because the mean of its divisors is an integer number (499651).

Almost surely, 231150080 is an apocalyptic number.

31150080 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 31150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58459167).

31150080 is an abundant number, since it is smaller than the sum of its proper divisors (85768254).

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

31150080 is a wasteful number, since it uses less digits than its factorization.

31150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 31150080 is about 5581.2256718395. The cubic root of 31150080 is about 314.6441938689.

Adding to 31150080 its reverse (8005113), we get a palindrome (39155193).

The spelling of 31150080 in words is "thirty-one million, one hundred fifty thousand, eighty".