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126412146 = 23279710343
BaseRepresentation
bin1111000100011…
…10010101110010
322210212101212100
413202032111302
5224330142041
620313241230
73063325350
oct742162562
9283771770
10126412146
11653a1353
1236403216
13202606b3
1412b087d0
15b1706b6
hex788e572

126412146 has 48 divisors (see below), whose sum is σ = 316278144. Its totient is φ = 35741952.

The previous prime is 126412123. The next prime is 126412151. The reversal of 126412146 is 641214621.

126412146 is a `hidden beast` number, since 1 + 2 + 641 + 2 + 14 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7051 + ... + 17393.

It is an arithmetic number, because the mean of its divisors is an integer number (6589128).

Almost surely, 2126412146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126412146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158139072).

126412146 is an abundant number, since it is smaller than the sum of its proper divisors (189865998).

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

126412146 is a wasteful number, since it uses less digits than its factorization.

126412146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10455 (or 10452 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 126412146 is about 11243.3156141772. The cubic root of 126412146 is about 501.8758151677.

Adding to 126412146 its reverse (641214621), we get a palindrome (767626767).

The spelling of 126412146 in words is "one hundred twenty-six million, four hundred twelve thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 10343 12222 20686 31029 62058 72401 93087 144802 186174 217203 434406 651609 1003271 1303218 2006542 3009813 6019626 7022897 9029439 14045794 18058878 21068691 42137382 63206073 126412146