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2083137 = 37237383
BaseRepresentation
bin111111100100101000001
310220211112020
413330211001
51013130022
6112352053
723464200
oct7744501
93824466
102083137
1111a3101
12845629
1357c234
143c3237
152b235c
hex1fc941

2083137 has 24 divisors (see below), whose sum is σ = 3326976. Its totient is φ = 1155168.

The previous prime is 2083127. The next prime is 2083139. The reversal of 2083137 is 7313802.

It is not a de Polignac number, because 2083137 - 24 = 2083121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2083139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5248 + ... + 5630.

It is an arithmetic number, because the mean of its divisors is an integer number (138624).

22083137 is an apocalyptic number.

It is an amenable number.

2083137 is a deficient number, since it is larger than the sum of its proper divisors (1243839).

2083137 is a wasteful number, since it uses less digits than its factorization.

2083137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2083137 is about 1443.3076595099. The cubic root of 2083137 is about 127.7142265506.

Adding to 2083137 its reverse (7313802), we get a palindrome (9396939).

The spelling of 2083137 in words is "two million, eighty-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 37 49 111 147 259 383 777 1149 1813 2681 5439 8043 14171 18767 42513 56301 99197 297591 694379 2083137