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6290025120 = 2532518124133
BaseRepresentation
bin1011101101110101…
…00010101010100000
3121020100210101100100
411312322202222200
5100340221300440
62520053022400
7311605221441
oct56672425240
917210711310
106290025120
112738611a75
121276624a00
137931b3572
144395472c8
1526c326230
hex176ea2aa0

6290025120 has 144 divisors (see below), whose sum is σ = 21584194632. Its totient is φ = 1668003840.

The previous prime is 6290025101. The next prime is 6290025149. The reversal of 6290025120 is 215200926.

6290025120 is a `hidden beast` number, since 62 + 90 + 0 + 2 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2873388816 + 3416636304 = 53604^2 + 58452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248574 + ... + 272706.

Almost surely, 26290025120 is an apocalyptic number.

6290025120 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 6290025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792097316).

6290025120 is an abundant number, since it is smaller than the sum of its proper divisors (15294169512).

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

6290025120 is a wasteful number, since it uses less digits than its factorization.

6290025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24335 (or 24324 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6290025120 is about 79309.6786022992. The cubic root of 6290025120 is about 1845.9394867140.

The spelling of 6290025120 in words is "six billion, two hundred ninety million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 181 240 288 360 362 480 543 720 724 905 1086 1440 1448 1629 1810 2172 2715 2896 3258 3620 4344 5430 5792 6516 7240 8145 8688 10860 13032 14480 16290 17376 21720 24133 26064 28960 32580 43440 48266 52128 65160 72399 86880 96532 120665 130320 144798 193064 217197 241330 260640 289596 361995 386128 434394 482660 579192 723990 772256 868788 965320 1085985 1158384 1447980 1737576 1930640 2171970 2316768 2895960 3475152 3861280 4343940 4368073 5791920 6950304 8687880 8736146 11583840 13104219 17375760 17472292 21840365 26208438 34751520 34944584 39312657 43680730 52416876 65521095 69889168 78625314 87361460 104833752 131042190 139778336 157250628 174722920 196563285 209667504 262084380 314501256 349445840 393126570 419335008 524168760 629002512 698891680 786253140 1048337520 1258005024 1572506280 2096675040 3145012560 6290025120