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126464328 = 2334195161
BaseRepresentation
bin1111000100110…
…11000101001000
322210222001110000
413202123011020
5224333324303
620314323000
73063633444
oct742330510
9283861400
10126464328
1165427581
1236429460
132027b383
1412b1d824
15b180da3
hex789b148

126464328 has 40 divisors (see below), whose sum is σ = 354219030. Its totient is φ = 42154560.

The previous prime is 126464311. The next prime is 126464329. The reversal of 126464328 is 823464621.

126464328 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 643 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101243844 + 25220484 = 10062^2 + 5022^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126464292 and 126464301.

It is not an unprimeable number, because it can be changed into a prime (126464329) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 96933 + ... + 98228.

Almost surely, 2126464328 is an apocalyptic number.

126464328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126464328 is an abundant number, since it is smaller than the sum of its proper divisors (227754702).

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

126464328 is a wasteful number, since it uses less digits than its factorization.

126464328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195179 (or 195166 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 126464328 is about 11245.6359535599. The cubic root of 126464328 is about 501.9448625441.

The spelling of 126464328 in words is "one hundred twenty-six million, four hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 195161 390322 585483 780644 1170966 1561288 1756449 2341932 3512898 4683864 5269347 7025796 10538694 14051592 15808041 21077388 31616082 42154776 63232164 126464328