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126106064 = 2473730431
BaseRepresentation
bin1111000010000…
…11100111010000
322210021211222222
413201003213100
5224240343224
620302520212
73060612110
oct741034720
9283254888
10126106064
1165202397
1236296068
1320184296
1412a69040
15b10eb5e
hex78439d0

126106064 has 40 divisors (see below), whose sum is σ = 286791168. Its totient is φ = 52583040.

The previous prime is 126106063. The next prime is 126106081. The reversal of 126106064 is 460601621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126106061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11072 + ... + 19359.

Almost surely, 2126106064 is an apocalyptic number.

126106064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126106064 is an abundant number, since it is smaller than the sum of its proper divisors (160685104).

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

126106064 is a wasteful number, since it uses less digits than its factorization.

126106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30483 (or 30477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 126106064 is about 11229.6956325628. The cubic root of 126106064 is about 501.4704234706.

Adding to 126106064 its reverse (460601621), we get a palindrome (586707685).

The spelling of 126106064 in words is "one hundred twenty-six million, one hundred six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 30431 60862 121724 213017 243448 426034 486896 852068 1125947 1704136 2251894 3408272 4503788 7881629 9007576 15763258 18015152 31526516 63053032 126106064