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6080265540 = 2233537330187
BaseRepresentation
bin1011010100110100…
…10111110101000100
3120200202002111022000
411222122113311010
544423021444130
62443201105300
7303450255456
oct55232276504
916622074260
106080265540
112640173548
121218328230
1375b8bcc7b
144197442d6
15258be0260
hex16a697d44

6080265540 has 96 divisors (see below), whose sum is σ = 18967724160. Its totient is φ = 1617003648.

The previous prime is 6080265539. The next prime is 6080265551. The reversal of 6080265540 is 455620806.

6080265540 is a `hidden beast` number, since 6 + 0 + 80 + 26 + 554 + 0 = 666.

It is a super-2 number, since 2×60802655402 = 73939258073822983200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6080265495 and 6080265504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186327 + ... + 216513.

It is an arithmetic number, because the mean of its divisors is an integer number (197580460).

Almost surely, 26080265540 is an apocalyptic number.

6080265540 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 6080265540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483862080).

6080265540 is an abundant number, since it is smaller than the sum of its proper divisors (12887458620).

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

6080265540 is a wasteful number, since it uses less digits than its factorization.

6080265540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30578 (or 30570 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6080265540 is about 77976.0574792032. The cubic root of 6080265540 is about 1825.1876246707.

The spelling of 6080265540 in words is "six billion, eighty million, two hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 373 540 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 10071 11190 13428 16785 20142 22380 30187 33570 40284 50355 60374 67140 90561 100710 120748 150935 181122 201420 271683 301870 362244 452805 543366 603740 815049 905610 1086732 1358415 1630098 1811220 2716830 3260196 4075245 5433660 8150490 11259751 16300980 22519502 33779253 45039004 56298755 67558506 101337759 112597510 135117012 168896265 202675518 225195020 304013277 337792530 405351036 506688795 608026554 675585060 1013377590 1216053108 1520066385 2026755180 3040132770 6080265540