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31489920 = 2732571171
BaseRepresentation
bin111100000011…
…1111110000000
32012020212001100
41320013332000
531030134140
63042534400
7531442230
oct170077600
965225040
1031489920
1116858930
12a667400
1366a71b7
144279cc0
152b70530
hex1e07f80

31489920 has 384 divisors, whose sum is σ = 137479680. Its totient is φ = 6451200.

The previous prime is 31489919. The next prime is 31489943. The reversal of 31489920 is 2998413.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443485 + ... + 443555.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 231489920 is an apocalyptic number.

31489920 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 31489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

31489920 is an abundant number, since it is smaller than the sum of its proper divisors (105989760).

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

31489920 is a wasteful number, since it uses less digits than its factorization.

31489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 31489920 is about 5611.5880105368. The cubic root of 31489920 is about 315.7842890377.

The spelling of 31489920 in words is "thirty-one million, four hundred eighty-nine thousand, nine hundred twenty".