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12742176 = 253331401
BaseRepresentation
bin110000100110…
…111000100000
3212222100222110
4300212320200
511230222201
61133035320
7213210126
oct60467040
925870873
1012742176
117213427
124325b40
132841a65
141999916
1511ba6d6
hexc26e20

12742176 has 48 divisors (see below), whose sum is σ = 33632928. Its totient is φ = 4224000.

The previous prime is 12742153. The next prime is 12742189. The reversal of 12742176 is 67124721.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31576 + ... + 31976.

It is an arithmetic number, because the mean of its divisors is an integer number (700686).

Almost surely, 212742176 is an apocalyptic number.

12742176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12742176 is an abundant number, since it is smaller than the sum of its proper divisors (20890752).

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

12742176 is a wasteful number, since it uses less digits than its factorization.

12742176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 12742176 is about 3569.6184670074. The cubic root of 12742176 is about 233.5686406268.

Adding to 12742176 its reverse (67124721), we get a palindrome (79866897).

The spelling of 12742176 in words is "twelve million, seven hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 401 662 802 993 1203 1324 1604 1986 2406 2648 3208 3972 4812 5296 6416 7944 9624 10592 12832 15888 19248 31776 38496 132731 265462 398193 530924 796386 1061848 1592772 2123696 3185544 4247392 6371088 12742176