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12742191 = 36711227
BaseRepresentation
bin110000100110…
…111000101111
3212222101000000
4300212320233
511230222231
61133035343
7213210150
oct60467057
925871000
1012742191
117213440
124325b53
132841a77
141999927
1511ba6e6
hexc26e2f

12742191 has 56 divisors (see below), whose sum is σ = 23923584. Its totient is φ = 6590160.

The previous prime is 12742189. The next prime is 12742193. The reversal of 12742191 is 19124721.

It is an interprime number because it is at equal distance from previous prime (12742189) and next prime (12742193).

It is not a de Polignac number, because 12742191 - 21 = 12742189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12742193) 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 55 ways as a sum of consecutive naturals, for example, 56020 + ... + 56246.

Almost surely, 212742191 is an apocalyptic number.

12742191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12742191 is a deficient number, since it is larger than the sum of its proper divisors (11181393).

12742191 is an equidigital number, since it uses as much as digits as its factorization.

12742191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12742191 is about 3569.6205680716. The cubic root of 12742191 is about 233.5687322786.

The spelling of 12742191 in words is "twelve million, seven hundred forty-two thousand, one hundred ninety-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 227 231 243 297 567 681 693 729 891 1589 1701 2043 2079 2497 2673 4767 5103 6129 6237 7491 8019 14301 17479 18387 18711 22473 42903 52437 55161 56133 67419 128709 157311 165483 202257 386127 471933 606771 1158381 1415799 1820313 4247397 12742191