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31487040 = 2632513292
BaseRepresentation
bin111100000011…
…1010001000000
32012020201002200
41320013101000
531030041130
63042513200
7531430644
oct170072100
965221080
1031487040
1116856752
12a665800
1366a5ab0
144278c24
152b6e760
hex1e07440

31487040 has 252 divisors, whose sum is σ = 120793764. Its totient is φ = 7483392.

The previous prime is 31487033. The next prime is 31487063. The reversal of 31487040 is 4078413.

It can be written as a sum of positive squares in 6 ways, for example, as 1806336 + 29680704 = 1344^2 + 5448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31486995 and 31487013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1085746 + ... + 1085774.

Almost surely, 231487040 is an apocalyptic number.

31487040 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 31487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60396882).

31487040 is an abundant number, since it is smaller than the sum of its proper divisors (89306724).

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

31487040 is a wasteful number, since it uses less digits than its factorization.

31487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 31487040 is about 5611.3313928158. The cubic root of 31487040 is about 315.7746617614.

The spelling of 31487040 in words is "thirty-one million, four hundred eighty-seven thousand, forty".