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37980107 = 1119237901
BaseRepresentation
bin1001000011100…
…0011111001011
32122110120220122
42100320133023
534210330412
63434013455
7640553114
oct220703713
978416818
1037980107
111a491020
121087728b
137b3a349
14508920b
153503572
hex24387cb

37980107 has 16 divisors (see below), whose sum is σ = 45515520. Its totient is φ = 31284000.

The previous prime is 37980077. The next prime is 37980133. The reversal of 37980107 is 70108973.

37980107 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 37980107 - 210 = 37979083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37980197) 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, 857 + ... + 8757.

It is an arithmetic number, because the mean of its divisors is an integer number (2844720).

Almost surely, 237980107 is an apocalyptic number.

37980107 is a deficient number, since it is larger than the sum of its proper divisors (7535413).

37980107 is a wasteful number, since it uses less digits than its factorization.

37980107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 37980107 is about 6162.8002563770. The cubic root of 37980107 is about 336.1388639688.

The spelling of 37980107 in words is "thirty-seven million, nine hundred eighty thousand, one hundred seven".

Divisors: 1 11 19 23 209 253 437 4807 7901 86911 150119 181723 1651309 1998953 3452737 37980107