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38100 = 22352127
BaseRepresentation
bin1001010011010100
31221021010
421103110
52204400
6452220
7216036
oct112324
957233
1038100
1126697
121a070
131445a
14dc56
15b450
hex94d4

38100 has 36 divisors (see below), whose sum is σ = 111104. Its totient is φ = 10080.

The previous prime is 38083. The next prime is 38113. The reversal of 38100 is 183.

Adding to 38100 its reverse (183), we get a palindrome (38283).

It is a super-2 number, since 2×381002 = 2903220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

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 38100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237 + ... + 363.

238100 is an apocalyptic number.

38100 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 38100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552).

38100 is an abundant number, since it is smaller than the sum of its proper divisors (73004).

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

38100 is a wasteful number, since it uses less digits than its factorization.

38100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 38100 is about 195.1922129594. The cubic root of 38100 is about 33.6492192488.

The spelling of 38100 in words is "thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7620 9525 12700 19050 38100