Search a number
-
+
31497120 = 2533523317
BaseRepresentation
bin111100000100…
…1101110100000
32012021012221000
41320021232200
531030401440
63043032000
7531502224
oct170115640
965235830
1031497120
1116863286
12a66b600
1366aa565
14427c784
152b72730
hex1e09ba0

31497120 has 192 divisors, whose sum is σ = 115395840. Its totient is φ = 8008704.

The previous prime is 31497083. The next prime is 31497127. The reversal of 31497120 is 2179413.

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 (31497127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99202 + ... + 99518.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 231497120 is an apocalyptic number.

31497120 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 31497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

31497120 is an abundant number, since it is smaller than the sum of its proper divisors (83898720).

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

31497120 is a wasteful number, since it uses less digits than its factorization.

31497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 31497120 is about 5612.2295035039. The cubic root of 31497120 is about 315.8083546606.

The spelling of 31497120 in words is "thirty-one million, four hundred ninety-seven thousand, one hundred twenty".