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6025285680 = 2435733311039
BaseRepresentation
bin1011001110010001…
…01001000000110000
3120112220122020002220
411213020221000300
544314433120210
62433514441040
7302212040361
oct54710510060
916486566086
106025285680
112612131347
121201a33180
137503acccb
14412311b68
15253e7ec70
hex167229030

6025285680 has 160 divisors (see below), whose sum is σ = 19009735680. Its totient is φ = 1578424320.

The previous prime is 6025285663. The next prime is 6025285687. The reversal of 6025285680 is 865825206.

It is a super-2 number, since 2×60252856802 = 72608135051226124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6025285687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5798601 + ... + 5799639.

It is an arithmetic number, because the mean of its divisors is an integer number (118810848).

Almost surely, 26025285680 is an apocalyptic number.

6025285680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6025285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504867840).

6025285680 is an abundant number, since it is smaller than the sum of its proper divisors (12984450000).

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

6025285680 is a wasteful number, since it uses less digits than its factorization.

6025285680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 6025285680 is about 77622.7136861370. The cubic root of 6025285680 is about 1819.6696337118.

The spelling of 6025285680 in words is "six billion, twenty-five million, two hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 331 365 438 584 662 730 876 993 1039 1095 1168 1324 1460 1655 1752 1986 2078 2190 2648 2920 3117 3310 3504 3972 4156 4380 4965 5195 5296 5840 6234 6620 7944 8312 8760 9930 10390 12468 13240 15585 15888 16624 17520 19860 20780 24163 24936 26480 31170 39720 41560 48326 49872 62340 72489 75847 79440 83120 96652 120815 124680 144978 151694 193304 227541 241630 249360 289956 303388 343909 362445 379235 386608 455082 483260 579912 606776 687818 724890 758470 910164 966520 1031727 1137705 1159824 1213552 1375636 1449780 1516940 1719545 1820328 1933040 2063454 2275410 2751272 2899560 3033880 3439090 3640656 4126908 4550820 5158635 5502544 5799120 6067760 6878180 8253816 9101640 10317270 13756360 16507632 18203280 20634540 25105357 27512720 41269080 50210714 75316071 82538160 100421428 125526785 150632142 200842856 251053570 301264284 376580355 401685712 502107140 602528568 753160710 1004214280 1205057136 1506321420 2008428560 3012642840 6025285680