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2057937 = 3743253
BaseRepresentation
bin111110110011011010001
310212112221220
413312123101
51011323222
6112035253
723330550
oct7663321
93775856
102057937
111186182
12832b29
1357091b
143b7d97
152a9b5c
hex1f66d1

2057937 has 24 divisors (see below), whose sum is σ = 3271104. Its totient is φ = 1126944.

The previous prime is 2057933. The next prime is 2057953. The reversal of 2057937 is 7397502.

It is not a de Polignac number, because 2057937 - 22 = 2057933 is a prime.

It is a super-4 number, since 4×20579374 (a number of 26 digits) contains 4444 as substring.

It is an Ulam number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2057898 and 2057907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057933) 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 23 ways as a sum of consecutive naturals, for example, 38803 + ... + 38855.

It is an arithmetic number, because the mean of its divisors is an integer number (136296).

22057937 is an apocalyptic number.

It is an amenable number.

2057937 is a deficient number, since it is larger than the sum of its proper divisors (1213167).

2057937 is an equidigital number, since it uses as much as digits as its factorization.

2057937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 2057937 is about 1434.5511493147. The cubic root of 2057937 is about 127.1971435417.

The spelling of 2057937 in words is "two million, fifty-seven thousand, nine hundred thirty-seven".

Divisors: 1 3 7 21 43 53 129 159 301 371 903 1113 1849 2279 5547 6837 12943 15953 38829 47859 97997 293991 685979 2057937