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37830105 = 335280223
BaseRepresentation
bin1001000001001…
…1110111011001
32122011222011000
42100103313121
534141030410
63430455213
7636356565
oct220236731
978158130
1037830105
111a399355
1210804509
137ab6ca1
14504a6a5
1534c3dc0
hex2413dd9

37830105 has 16 divisors (see below), whose sum is σ = 67253760. Its totient is φ = 20175984.

The previous prime is 37830103. The next prime is 37830131. The reversal of 37830105 is 50103873.

37830105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37830105 - 21 = 37830103 is a prime.

It is a super-2 number, since 2×378301052 = 2862233688622050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (37830103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139977 + ... + 140246.

It is an arithmetic number, because the mean of its divisors is an integer number (4203360).

Almost surely, 237830105 is an apocalyptic number.

It is an amenable number.

37830105 is a deficient number, since it is larger than the sum of its proper divisors (29423655).

37830105 is a wasteful number, since it uses less digits than its factorization.

37830105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280237 (or 280231 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 37830105 is about 6150.6182616059. The cubic root of 37830105 is about 335.6957545657.

Adding to 37830105 its reverse (50103873), we get a palindrome (87933978).

The spelling of 37830105 in words is "thirty-seven million, eight hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 135 280223 840669 1401115 2522007 4203345 7566021 12610035 37830105