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126427014 = 2337615483
BaseRepresentation
bin1111000100100…
…01111110000110
322210220011021000
413202101332012
5224331131024
620313434130
73063416610
oct742217606
9283804230
10126427014
116540153a
123640b946
13202673ac
1412b0ddb0
15b174cc9
hex7891f86

126427014 has 64 divisors (see below), whose sum is σ = 326407680. Its totient is φ = 35523360.

The previous prime is 126427013. The next prime is 126427019. The reversal of 126427014 is 410724621.

126427014 is a `hidden beast` number, since 1 + 2 + 642 + 7 + 0 + 14 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126427013) 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, 20317 + ... + 25799.

It is an arithmetic number, because the mean of its divisors is an integer number (5100120).

Almost surely, 2126427014 is an apocalyptic number.

126427014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126427014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163203840).

126427014 is an abundant number, since it is smaller than the sum of its proper divisors (199980666).

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

126427014 is a wasteful number, since it uses less digits than its factorization.

126427014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 126427014 is about 11243.9767875961. The cubic root of 126427014 is about 501.8954904846.

The spelling of 126427014 in words is "one hundred twenty-six million, four hundred twenty-seven thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1098 1281 1647 2562 3294 3843 5483 7686 10966 11529 16449 23058 32898 38381 49347 76762 98694 115143 148041 230286 296082 334463 345429 668926 690858 1003389 1036287 2006778 2072574 2341241 3010167 4682482 6020334 7023723 9030501 14047446 18061002 21071169 42142338 63213507 126427014