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1257138 = 232211331
BaseRepresentation
bin100110010111010110010
32100212110200
410302322302
5310212023
642540030
713454061
oct4627262
92325420
101257138
11789563
12507616
1335028c
1424a1d8
1519c743
hex132eb2

1257138 has 24 divisors (see below), whose sum is σ = 2744976. Its totient is φ = 415800.

The previous prime is 1257131. The next prime is 1257163. The reversal of 1257138 is 8317521.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1257131) 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 11 ways as a sum of consecutive naturals, for example, 3633 + ... + 3963.

It is an arithmetic number, because the mean of its divisors is an integer number (114374).

21257138 is an apocalyptic number.

1257138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1257138 is an abundant number, since it is smaller than the sum of its proper divisors (1487838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1257138 is a wasteful number, since it uses less digits than its factorization.

1257138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 547 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1257138 is about 1121.2216551601. The cubic root of 1257138 is about 107.9263901702.

The spelling of 1257138 in words is "one million, two hundred fifty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 211 331 422 633 662 993 1266 1899 1986 2979 3798 5958 69841 139682 209523 419046 628569 1257138