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6130604880 = 24345946081
BaseRepresentation
bin1011011010110100…
…11001101101010000
3120211020210222220000
411231122121231100
5100023413324010
62452200050000
7304631165421
oct55532315520
916736728800
106130604880
112666626204
121231163900
1376916696a
144222c9648
1525d3357c0
hex16d699b50

6130604880 has 100 divisors (see below), whose sum is σ = 21292521492. Its totient is φ = 1634826240.

The previous prime is 6130604813. The next prime is 6130604891. The reversal of 6130604880 is 884060316.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1506060864 + 4624544016 = 38808^2 + 68004^2 .

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 466561 + ... + 479520.

Almost surely, 26130604880 is an apocalyptic number.

6130604880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6130604880 is an abundant number, since it is smaller than the sum of its proper divisors (15161916612).

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

6130604880 is a wasteful number, since it uses less digits than its factorization.

6130604880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946106 (or 946091 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6130604880 is about 78298.1792891763. The cubic root of 6130604880 is about 1830.2107792690.

The spelling of 6130604880 in words is "six billion, one hundred thirty million, six hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 946081 1892162 2838243 3784324 4730405 5676486 7568648 8514729 9460810 11352972 14191215 15137296 17029458 18921620 22705944 25544187 28382430 34058916 37843240 42573645 45411888 51088374 56764860 68117832 75686480 76632561 85147290 102176748 113529720 127720935 136235664 153265122 170294580 204353496 227059440 255441870 306530244 340589160 383162805 408706992 510883740 613060488 681178320 766325610 1021767480 1226120976 1532651220 2043534960 3065302440 6130604880