Search a number
-
+
6020460768 = 253756315913
BaseRepresentation
bin1011001101101100…
…01111000011100000
3120112120120002120110
411212312033003200
544312214221033
62433223211320
7302123033520
oct54666170340
916476502513
106020460768
11260a436313
1212002a6b40
1374c3b0b2a
14411817680
1525382a363
hex166d8f0e0

6020460768 has 96 divisors (see below), whose sum is σ = 18094599936. Its totient is φ = 1716968448.

The previous prime is 6020460731. The next prime is 6020460769. The reversal of 6020460768 is 8670640206.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6020460769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370380 + ... + 386292.

It is an arithmetic number, because the mean of its divisors is an integer number (188485416).

Almost surely, 26020460768 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 6020460768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047299968).

6020460768 is an abundant number, since it is smaller than the sum of its proper divisors (12074139168).

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

6020460768 is a wasteful number, since it uses less digits than its factorization.

6020460768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16496 (or 16488 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 6020460768 is about 77591.6282082030. The cubic root of 6020460768 is about 1819.1837872916.

The spelling of 6020460768 in words is "six billion, twenty million, four hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 563 672 1126 1689 2252 3378 3941 4504 6756 7882 9008 11823 13512 15764 15913 18016 23646 27024 31528 31826 47292 47739 54048 63056 63652 94584 95478 111391 126112 127304 189168 190956 222782 254608 334173 378336 381912 445564 509216 668346 763824 891128 1336692 1527648 1782256 2673384 3564512 5346768 8959019 10693536 17918038 26877057 35836076 53754114 62713133 71672152 107508228 125426266 143344304 188139399 215016456 250852532 286688608 376278798 430032912 501705064 752557596 860065824 1003410128 1505115192 2006820256 3010230384 6020460768