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37980 = 22325211
BaseRepresentation
bin1001010001011100
31221002200
421101130
52203410
6451500
7215505
oct112134
957080
1037980
1126598
1219b90
1314397
14dbac
15b3c0
hex945c

37980 has 36 divisors (see below), whose sum is σ = 115752. Its totient is φ = 10080.

The previous prime is 37967. The next prime is 37987. The reversal of 37980 is 8973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 37980.

It is not an unprimeable number, because it can be changed into a prime (37987) by changing a digit.

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, 75 + ... + 285.

237980 is an apocalyptic number.

37980 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 37980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57876).

37980 is an abundant number, since it is smaller than the sum of its proper divisors (77772).

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

37980 is a wasteful number, since it uses less digits than its factorization.

37980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 37980 is about 194.8845812269. The cubic root of 37980 is about 33.6138548304.

The spelling of 37980 in words is "thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1899 2110 2532 3165 3798 4220 6330 7596 9495 12660 18990 37980