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31014720 = 2632511289
BaseRepresentation
bin111011001001…
…1111101000000
32011100201012100
41312103331000
530414432340
63024430400
7524422632
oct166237500
964321170
1031014720
1116563900
12a478400
13656bb09
144194a52
152ac9830
hex1d93f40

31014720 has 252 divisors, whose sum is σ = 118574820. Its totient is φ = 7434240.

The previous prime is 31014719. The next prime is 31014721. The reversal of 31014720 is 2741013.

It is an interprime number because it is at equal distance from previous prime (31014719) and next prime (31014721).

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 22581504 = 2904^2 + 4752^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 31014693 and 31014702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31014721) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 348436 + ... + 348524.

It is an arithmetic number, because the mean of its divisors is an integer number (470535).

Almost surely, 231014720 is an apocalyptic number.

31014720 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 31014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59287410).

31014720 is an abundant number, since it is smaller than the sum of its proper divisors (87560100).

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

31014720 is a wasteful number, since it uses less digits than its factorization.

31014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 31014720 is about 5569.0861009685. The cubic root of 31014720 is about 314.1877790091.

Adding to 31014720 its reverse (2741013), we get a palindrome (33755733).

The spelling of 31014720 in words is "thirty-one million, fourteen thousand, seven hundred twenty".