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1054137 = 37271101
BaseRepresentation
bin100000001010110111001
31222120000010
410001112321
5232213022
634332133
711650200
oct4012671
91876003
101054137
1165aa97
1242a049
132aba66
141d6237
1515c50c
hex1015b9

1054137 has 24 divisors (see below), whose sum is σ = 1674432. Its totient is φ = 588000.

The previous prime is 1054133. The next prime is 1054169. The reversal of 1054137 is 7314501.

It is not a de Polignac number, because 1054137 - 22 = 1054133 is a prime.

It is a super-2 number, since 2×10541372 = 2222409629538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10387 + ... + 10487.

It is an arithmetic number, because the mean of its divisors is an integer number (69768).

21054137 is an apocalyptic number.

It is an amenable number.

1054137 is a deficient number, since it is larger than the sum of its proper divisors (620295).

1054137 is a wasteful number, since it uses less digits than its factorization.

1054137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1054137 is about 1026.7117414348. The cubic root of 1054137 is about 101.7729474732.

Adding to 1054137 its reverse (7314501), we get a palindrome (8368638).

The spelling of 1054137 in words is "one million, fifty-four thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 49 71 101 147 213 303 497 707 1491 2121 3479 4949 7171 10437 14847 21513 50197 150591 351379 1054137