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31021920 = 2533543167
BaseRepresentation
bin111011001010…
…1101101100000
32011101002002000
41312111231200
530420200140
63024524000
7524452626
oct166255540
964332060
1031021920
1116569256
12a480600
136572187
144197516
152acba30
hex1d95b60

31021920 has 192 divisors, whose sum is σ = 111767040. Its totient is φ = 8031744.

The previous prime is 31021897. The next prime is 31021931. The reversal of 31021920 is 2912013.

It is a happy number.

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 = 31021893 and 31021902.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 185677 + ... + 185843.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 231021920 is an apocalyptic number.

31021920 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 31021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

31021920 is an abundant number, since it is smaller than the sum of its proper divisors (80745120).

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

31021920 is a wasteful number, since it uses less digits than its factorization.

31021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 31021920 is about 5569.7324890878. The cubic root of 31021920 is about 314.2120897986.

Adding to 31021920 its reverse (2912013), we get a palindrome (33933933).

The spelling of 31021920 in words is "thirty-one million, twenty-one thousand, nine hundred twenty".