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5660805060 = 223251132111319
BaseRepresentation
bin1010100010110100…
…10000011111000100
3112121111210200200200
411101122100133010
543043131230220
62333414410500
7260165022561
oct52132203704
915544720620
105660805060
112445416699
12111b960a30
136c2a269c1
143b9b55868
15231e85890
hex1516907c4

5660805060 has 144 divisors (see below), whose sum is σ = 17418360960. Its totient is φ = 1487969280.

The previous prime is 5660805001. The next prime is 5660805089. The reversal of 5660805060 is 605080665.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4291081 + ... + 4292399.

It is an arithmetic number, because the mean of its divisors is an integer number (120960840).

Almost surely, 25660805060 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 5660805060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709180480).

5660805060 is an abundant number, since it is smaller than the sum of its proper divisors (11757555900).

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

5660805060 is a wasteful number, since it uses less digits than its factorization.

5660805060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5660805060 is about 75238.3217516180. The cubic root of 5660805060 is about 1782.2121488592.

The spelling of 5660805060 in words is "five billion, six hundred sixty million, eight hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 211 226 339 422 452 565 633 678 844 1017 1055 1130 1266 1319 1356 1695 1899 2034 2110 2260 2532 2638 3165 3390 3798 3957 4068 4220 5085 5276 6330 6595 6780 7596 7914 9495 10170 11871 12660 13190 15828 18990 19785 20340 23742 23843 26380 37980 39570 47484 47686 59355 71529 79140 95372 118710 119215 143058 149047 214587 237420 238430 278309 286116 298094 357645 429174 447141 476860 556618 596188 715290 745235 834927 858348 894282 1072935 1113236 1341423 1391545 1430580 1490470 1669854 1788564 2145870 2235705 2504781 2682846 2783090 2980940 3339708 4174635 4291740 4471410 5009562 5365692 5566180 6707115 8349270 8942820 10019124 12523905 13414230 16698540 25047810 26828460 31448917 50095620 62897834 94346751 125795668 157244585 188693502 283040253 314489170 377387004 471733755 566080506 628978340 943467510 1132161012 1415201265 1886935020 2830402530 5660805060