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37060 = 22517109
BaseRepresentation
bin1001000011000100
31212211121
421003010
52141220
6443324
7213022
oct110304
955747
1037060
1125931
1219544
1313b3a
14d712
15aeaa
hex90c4

37060 has 24 divisors (see below), whose sum is σ = 83160. Its totient is φ = 13824.

The previous prime is 37057. The next prime is 37061. The reversal of 37060 is 6073.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 26244 = 104^2 + 162^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37060.

It is not an unprimeable number, because it can be changed into a prime (37061) by changing a digit.

It is a nontrivial repunit in base 33.

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, 286 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (3465).

237060 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 37060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41580).

37060 is an abundant number, since it is smaller than the sum of its proper divisors (46100).

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

37060 is a wasteful number, since it uses less digits than its factorization.

37060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 37060 is about 192.5097400133. The cubic root of 37060 is about 33.3402207990.

The spelling of 37060 in words is "thirty-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 9265 18530 37060