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6035420144 = 2413294323269
BaseRepresentation
bin1011001111011110…
…10011001111110000
3120120121201002222102
411213233103033300
544330031421034
62434515555532
7302364140045
oct54757231760
916517632872
106035420144
112617923536
1212052bbba8
1375251ab30
144137cd1cc
15254cd297e
hex167bd33f0

6035420144 has 80 divisors (see below), whose sum is σ = 13330917600. Its totient is φ = 2626864128.

The previous prime is 6035420089. The next prime is 6035420177. The reversal of 6035420144 is 4410245306.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247742 + ... + 271010.

It is an arithmetic number, because the mean of its divisors is an integer number (166636470).

Almost surely, 26035420144 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 6035420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665458800).

6035420144 is an abundant number, since it is smaller than the sum of its proper divisors (7295497456).

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

6035420144 is a wasteful number, since it uses less digits than its factorization.

6035420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23362 (or 23356 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 6035420144 is about 77687.9665327906. The cubic root of 6035420144 is about 1820.6892836575.

The spelling of 6035420144 in words is "six billion, thirty-five million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 43 52 58 86 104 116 172 208 232 344 377 464 559 688 754 1118 1247 1508 2236 2494 3016 4472 4988 6032 8944 9976 16211 19952 23269 32422 46538 64844 93076 129688 186152 259376 302497 372304 604994 674801 1000567 1209988 1349602 2001134 2419976 2699204 4002268 4839952 5398408 8004536 8772413 10796816 13007371 16009072 17544826 26014742 29016443 35089652 52029484 58032886 70179304 104058968 116065772 140358608 208117936 232131544 377213759 464263088 754427518 1508855036 3017710072 6035420144