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1166200680 = 2335171135059
BaseRepresentation
bin100010110000010…
…1100111101101000
310000021102010120210
41011200230331220
54342021410210
6311415421120
740620353661
oct10540547550
93007363523
101166200680
11549320917
122866847a0
131577bc098
14b0c52368
156c5b0e20
hex4582cf68

1166200680 has 128 divisors (see below), whose sum is σ = 3737923200. Its totient is φ = 290045952.

The previous prime is 1166200661. The next prime is 1166200709. The reversal of 1166200680 is 860026611.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227991 + ... + 233049.

It is an arithmetic number, because the mean of its divisors is an integer number (29202525).

Almost surely, 21166200680 is an apocalyptic number.

1166200680 is a gapful number since it is divisible by the number (10) 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 1166200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868961600).

1166200680 is an abundant number, since it is smaller than the sum of its proper divisors (2571722520).

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

1166200680 is a wasteful number, since it uses less digits than its factorization.

1166200680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1166200680 is about 34149.6805255920. The cubic root of 1166200680 is about 1052.5864219277.

The spelling of 1166200680 in words is "one billion, one hundred sixty-six million, two hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 113 120 136 170 204 226 255 339 340 408 452 510 565 678 680 904 1020 1130 1356 1695 1921 2040 2260 2712 3390 3842 4520 5059 5763 6780 7684 9605 10118 11526 13560 15177 15368 19210 20236 23052 25295 28815 30354 38420 40472 46104 50590 57630 60708 75885 76840 86003 101180 115260 121416 151770 172006 202360 230520 258009 303540 344012 430015 516018 571667 607080 688024 860030 1032036 1143334 1290045 1715001 1720060 2064072 2286668 2580090 2858335 3430002 3440120 4573336 5160180 5716670 6860004 8575005 9718339 10320360 11433340 13720008 17150010 19436678 22866680 29155017 34300020 38873356 48591695 58310034 68600040 77746712 97183390 116620068 145775085 194366780 233240136 291550170 388733560 583100340 1166200680