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6105000560 = 2451710741953
BaseRepresentation
bin1011010111110001…
…01110101001110000
3120202110122011100212
411223320232221300
5100000340004220
62445443203252
7304200435311
oct55370565160
916673564325
106105000560
11265312830a
121224676528
13763a70689
1441cb42608
1525ae790c5
hex16be2ea70

6105000560 has 80 divisors (see below), whose sum is σ = 15169895136. Its totient is φ = 2276818944.

The previous prime is 6105000557. The next prime is 6105000613. The reversal of 6105000560 is 650005016.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124544 + ... + 166496.

Almost surely, 26105000560 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 6105000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584947568).

6105000560 is an abundant number, since it is smaller than the sum of its proper divisors (9064894576).

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

6105000560 is a wasteful number, since it uses less digits than its factorization.

6105000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42090 (or 42084 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 6105000560 is about 78134.5030060344. The cubic root of 6105000560 is about 1827.6592804893.

Adding to 6105000560 its reverse (650005016), we get a palindrome (6755005576).

The spelling of 6105000560 in words is "six billion, one hundred five million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 107 136 170 214 272 340 428 535 680 856 1070 1360 1712 1819 2140 3638 4280 7276 8560 9095 14552 18190 29104 36380 41953 72760 83906 145520 167812 209765 335624 419530 671248 713201 839060 1426402 1678120 2852804 3356240 3566005 4488971 5705608 7132010 8977942 11411216 14264020 17955884 22444855 28528040 35911768 44889710 57056080 71823536 76312507 89779420 152625014 179558840 305250028 359117680 381562535 610500056 763125070 1221000112 1526250140 3052500280 6105000560