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39380 = 22511179
BaseRepresentation
bin1001100111010100
32000000112
421213110
52230010
6502152
7222545
oct114724
960015
1039380
1127650
121a958
1314c03
14104cc
15ba05
hex99d4

39380 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 14240.

The previous prime is 39373. The next prime is 39383. The reversal of 39380 is 8393.

39380 = T123 + T124 + ... + T127.

39380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39380.

It is not an unprimeable number, because it can be changed into a prime (39383) by changing a digit.

39380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

239380 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 39380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

39380 is an abundant number, since it is smaller than the sum of its proper divisors (51340).

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

39380 is a wasteful number, since it uses less digits than its factorization.

39380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 39380 is about 198.4439467457. The cubic root of 39380 is about 34.0219005383.

The spelling of 39380 in words is "thirty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7876 9845 19690 39380