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6106105560 = 2335173780897
BaseRepresentation
bin1011010111111001…
…11100011011011000
3120202112201022010210
411223330330123120
5100001130334220
62445523011120
7304213020012
oct55374743330
916675638123
106106105560
112653812535
121224b09aa0
13764069619
1441cd4d1b2
1525b0e66e0
hex16bf3c6d8

6106105560 has 128 divisors (see below), whose sum is σ = 19920323520. Its totient is φ = 1491075072.

The previous prime is 6106105547. The next prime is 6106105561. The reversal of 6106105560 is 655016016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106105561) 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, 35032 + ... + 115928.

Almost surely, 26106105560 is an apocalyptic number.

6106105560 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 6106105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9960161760).

6106105560 is an abundant number, since it is smaller than the sum of its proper divisors (13814217960).

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

6106105560 is a wasteful number, since it uses less digits than its factorization.

6106105560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80965 (or 80961 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 6106105560 is about 78141.5738259731. The cubic root of 6106105560 is about 1827.7695421046.

The spelling of 6106105560 in words is "six billion, one hundred six million, one hundred five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1887 2040 2220 2516 3145 3774 4440 5032 6290 7548 9435 12580 15096 18870 25160 37740 75480 80897 161794 242691 323588 404485 485382 647176 808970 970764 1213455 1375249 1617940 1941528 2426910 2750498 2993189 3235880 4125747 4853820 5500996 5986378 6876245 8251494 8979567 9707640 11001992 11972756 13752490 14965945 16502988 17959134 20628735 23945512 27504980 29931890 33005976 35918268 41257470 44897835 50884213 55009960 59863780 71836536 82514940 89795670 101768426 119727560 152652639 165029880 179591340 203536852 254421065 305305278 359182680 407073704 508842130 610610556 763263195 1017684260 1221221112 1526526390 2035368520 3053052780 6106105560