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389970 = 23257619
BaseRepresentation
bin1011111001101010010
3201210221100
41133031102
544434340
612205230
73212640
oct1371522
9653840
10389970
11246a99
12169816
13108669
14a2190
157a830
hex5f352

389970 has 48 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 88992.

The previous prime is 389957. The next prime is 389971. The reversal of 389970 is 79983.

389970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (389971) 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 23 ways as a sum of consecutive naturals, for example, 321 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2389970 is an apocalyptic number.

389970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 389970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

389970 is an abundant number, since it is smaller than the sum of its proper divisors (770670).

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

389970 is a wasteful number, since it uses less digits than its factorization.

389970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 389970 is about 624.4757801548. The cubic root of 389970 is about 73.0595623224.

It can be divided in two parts, 3899 and 70, that added together give a square (3969 = 632).

The spelling of 389970 in words is "three hundred eighty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 619 630 1238 1857 3095 3714 4333 5571 6190 8666 9285 11142 12999 18570 21665 25998 27855 38997 43330 55710 64995 77994 129990 194985 389970