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12738457 = 1747107149
BaseRepresentation
bin110000100101…
…111110011001
3212222011212201
4300211332121
511230112312
61133010201
7213163234
oct60457631
925864781
1012738457
117210656
124323961
132840164
14199841b
1511b9557
hexc25f99

12738457 has 16 divisors (see below), whose sum is σ = 13996800. Its totient is φ = 11546368.

The previous prime is 12738443. The next prime is 12738469. The reversal of 12738457 is 75483721.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12738457 is a prime.

It is a Duffinian number.

Its product of digits (47040) is a multiple of the sum of its prime divisors (320).

It is not an unprimeable number, because it can be changed into a prime (12738437) 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 15 ways as a sum of consecutive naturals, for example, 85419 + ... + 85567.

It is an arithmetic number, because the mean of its divisors is an integer number (874800).

Almost surely, 212738457 is an apocalyptic number.

12738457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12738457 is a deficient number, since it is larger than the sum of its proper divisors (1258343).

12738457 is a wasteful number, since it uses less digits than its factorization.

12738457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its digits is 47040, while the sum is 37.

The square root of 12738457 is about 3569.0975049724. The cubic root of 12738457 is about 233.5459148826.

It can be divided in two parts, 1273 and 8457, that added together give a triangular number (9730 = T139).

The spelling of 12738457 in words is "twelve million, seven hundred thirty-eight thousand, four hundred fifty-seven".

Divisors: 1 17 47 107 149 799 1819 2533 5029 7003 15943 85493 119051 271031 749321 12738457