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38700 = 22325243
BaseRepresentation
bin1001011100101100
31222002100
421130230
52214300
6455100
7220554
oct113454
958070
1038700
1127092
121a490
13147cc
1410164
15b700
hex972c

38700 has 54 divisors (see below), whose sum is σ = 124124. Its totient is φ = 10080.

The previous prime is 38699. The next prime is 38707. The reversal of 38700 is 783.

38700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38700.

It is not an unprimeable number, because it can be changed into a prime (38707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 879 + ... + 921.

238700 is an apocalyptic number.

38700 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 38700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62062).

38700 is an abundant number, since it is smaller than the sum of its proper divisors (85424).

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

38700 is a wasteful number, since it uses less digits than its factorization.

38700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 38700 is about 196.7231557291. The cubic root of 38700 is about 33.8249363735.

The spelling of 38700 in words is "thirty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1548 1935 2150 2580 3225 3870 4300 6450 7740 9675 12900 19350 38700