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31272480 = 2534519127
BaseRepresentation
bin111011101001…
…0111000100000
32011211210210000
41313102320200
531001204410
63034140000
7526545261
oct167227040
964753700
1031272480
111671a528
12a581600
13662c235
144220968
152b2adc0
hex1dd2e20

31272480 has 240 divisors, whose sum is σ = 117089280. Its totient is φ = 7838208.

The previous prime is 31272431. The next prime is 31272487. The reversal of 31272480 is 8427213.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31272487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246177 + ... + 246303.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 231272480 is an apocalyptic number.

31272480 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 31272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

31272480 is an abundant number, since it is smaller than the sum of its proper divisors (85816800).

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

31272480 is a wasteful number, since it uses less digits than its factorization.

31272480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

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

The square root of 31272480 is about 5592.1802546055. The cubic root of 31272480 is about 315.0557724375.

Adding to 31272480 its reverse (8427213), we get a palindrome (39699693).

The spelling of 31272480 in words is "thirty-one million, two hundred seventy-two thousand, four hundred eighty".