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37130 = 254779
BaseRepresentation
bin1001000100001010
31212221012
421010022
52142010
6443522
7213152
oct110412
955835
1037130
1125995
12195a2
1313b92
14d762
15b005
hex910a

37130 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 14352.

The previous prime is 37123. The next prime is 37139. The reversal of 37130 is 3173.

It is a happy number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37130.

It is not an unprimeable number, because it can be changed into a prime (37139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

237130 is an apocalyptic number.

37130 is a deficient number, since it is larger than the sum of its proper divisors (31990).

37130 is a wasteful number, since it uses less digits than its factorization.

37130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 37130 is about 192.6914632255. The cubic root of 37130 is about 33.3611989210.

The spelling of 37130 in words is "thirty-seven thousand, one hundred thirty".

Divisors: 1 2 5 10 47 79 94 158 235 395 470 790 3713 7426 18565 37130