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37680057 = 324186673
BaseRepresentation
bin1000111110111…
…1001110111001
32121220100022200
42033233032321
534121230212
63423340413
7635163252
oct217571671
977810280
1037680057
111a2a6648
1210751709
137a638bc
14500bb29
1534946dc
hex23ef3b9

37680057 has 6 divisors (see below), whose sum is σ = 54426762. Its totient is φ = 25120032.

The previous prime is 37680031. The next prime is 37680067. The reversal of 37680057 is 75008673.

It can be written as a sum of positive squares in only one way, i.e., 33419961 + 4260096 = 5781^2 + 2064^2 .

It is not a de Polignac number, because 37680057 - 211 = 37678009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37680067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2093328 + ... + 2093345.

It is an arithmetic number, because the mean of its divisors is an integer number (9071127).

Almost surely, 237680057 is an apocalyptic number.

It is an amenable number.

37680057 is a deficient number, since it is larger than the sum of its proper divisors (16746705).

37680057 is a wasteful number, since it uses less digits than its factorization.

37680057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186679 (or 4186676 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 37680057 is about 6138.4083441883. The cubic root of 37680057 is about 335.2513358538.

The spelling of 37680057 in words is "thirty-seven million, six hundred eighty thousand, fifty-seven".

Divisors: 1 3 9 4186673 12560019 37680057