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126557064 = 23329718121
BaseRepresentation
bin1111000101100…
…01101110001000
322211010202122200
413202301232020
5224344311224
620320320200
73064501014
oct742615610
9284122580
10126557064
1165490217
1236473060
13202b164a
1412b45544
15b19d5c9
hex78b1b88

126557064 has 48 divisors (see below), whose sum is σ = 346311420. Its totient is φ = 41748480.

The previous prime is 126557059. The next prime is 126557071. The reversal of 126557064 is 460755621.

It is a happy number.

126557064 is a `hidden beast` number, since 1 + 26 + 5 + 570 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125216100 + 1340964 = 11190^2 + 1158^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2077 + ... + 16044.

Almost surely, 2126557064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126557064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173155710).

126557064 is an abundant number, since it is smaller than the sum of its proper divisors (219754356).

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

126557064 is a wasteful number, since it uses less digits than its factorization.

126557064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18230 (or 18223 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 126557064 is about 11249.7583974057. The cubic root of 126557064 is about 502.0675242365.

The spelling of 126557064 in words is "one hundred twenty-six million, five hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 18121 36242 54363 72484 108726 144968 163089 217452 326178 434904 652356 1304712 1757737 3515474 5273211 7030948 10546422 14061896 15819633 21092844 31639266 42185688 63278532 126557064