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64030128 = 24331371163
BaseRepresentation
bin1111010001000…
…0010110110000
311110111001211020
43310100112300
5112342431003
610204215440
71405150521
oct364202660
9143431736
1064030128
1133163868
121953a580
131035b466
14870a848
15594bd53
hex3d105b0

64030128 has 80 divisors (see below), whose sum is σ = 175512576. Its totient is φ = 20079360.

The previous prime is 64030111. The next prime is 64030129. The reversal of 64030128 is 82103046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 64030098 and 64030107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64030129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54475 + ... + 55637.

Almost surely, 264030128 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 64030128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87756288).

64030128 is an abundant number, since it is smaller than the sum of its proper divisors (111482448).

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

64030128 is a wasteful number, since it uses less digits than its factorization.

64030128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 64030128 is about 8001.8827784466. The cubic root of 64030128 is about 400.0627568201.

The spelling of 64030128 in words is "sixty-four million, thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 592 744 888 1147 1163 1488 1776 2294 2326 3441 3489 4588 4652 6882 6978 9176 9304 13764 13956 18352 18608 27528 27912 36053 43031 55056 55824 72106 86062 108159 129093 144212 172124 216318 258186 288424 344248 432636 516372 576848 688496 865272 1032744 1333961 1730544 2065488 2667922 4001883 5335844 8003766 10671688 16007532 21343376 32015064 64030128