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12742407 = 331959421
BaseRepresentation
bin110000100110…
…111100000111
3212222101022000
4300212330013
511230224112
61133040343
7213210606
oct60467407
925871260
1012742407
117213617
1243260b3
132841bb2
141999a3d
1511ba7dc
hexc26f07

12742407 has 32 divisors (see below), whose sum is σ = 20256000. Its totient is φ = 7892640.

The previous prime is 12742399. The next prime is 12742417. The reversal of 12742407 is 70424721.

It is a happy number.

12742407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12742407 - 23 = 12742399 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 (12742417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30057 + ... + 30477.

It is an arithmetic number, because the mean of its divisors is an integer number (633000).

Almost surely, 212742407 is an apocalyptic number.

12742407 is a deficient number, since it is larger than the sum of its proper divisors (7513593).

12742407 is a wasteful number, since it uses less digits than its factorization.

12742407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 12742407 is about 3569.6508232599. The cubic root of 12742407 is about 233.5700520558.

The spelling of 12742407 in words is "twelve million, seven hundred forty-two thousand, four hundred seven".

Divisors: 1 3 9 19 27 57 59 171 177 421 513 531 1121 1263 1593 3363 3789 7999 10089 11367 23997 24839 30267 71991 74517 215973 223551 471941 670653 1415823 4247469 12742407