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31530160 = 245735399
BaseRepresentation
bin111100001000…
…1110010110000
32012022220020201
41320101302300
531032431120
63043444544
7532000444
oct170216260
965286221
1031530160
1116886092
12a686754
1366bc5cc
14428a824
152b7c40a
hex1e11cb0

31530160 has 40 divisors (see below), whose sum is σ = 74325600. Its totient is φ = 12436992.

The previous prime is 31530143. The next prime is 31530173. The reversal of 31530160 is 6103513.

31530160 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3141 + ... + 8539.

It is an arithmetic number, because the mean of its divisors is an integer number (1858140).

Almost surely, 231530160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37162800).

31530160 is an abundant number, since it is smaller than the sum of its proper divisors (42795440).

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

31530160 is a wasteful number, since it uses less digits than its factorization.

31530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 31530160 is about 5615.1723036787. The cubic root of 31530160 is about 315.9187421255.

Adding to 31530160 its reverse (6103513), we get a palindrome (37633673).

The spelling of 31530160 in words is "thirty-one million, five hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5399 5840 10798 21596 26995 43192 53990 86384 107980 215960 394127 431920 788254 1576508 1970635 3153016 3941270 6306032 7882540 15765080 31530160