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1164216060 = 2232573112971
BaseRepresentation
bin100010101100100…
…1000011011111100
310000010200022012100
41011121020123330
54341014403220
6311305105100
740564446630
oct10531103374
93003608170
101164216060
11548195837
12285a88190
13157275957
14b0896dc0
156c31cd90
hex456486fc

1164216060 has 144 divisors (see below), whose sum is σ = 4050289152. Its totient is φ = 265161600.

The previous prime is 1164216059. The next prime is 1164216071. The reversal of 1164216060 is 606124611.

1164216060 is a `hidden beast` number, since 1 + 1 + 642 + 16 + 0 + 6 + 0 = 666.

It is a congruent number.

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, 390375 + ... + 393345.

It is an arithmetic number, because the mean of its divisors is an integer number (28127008).

Almost surely, 21164216060 is an apocalyptic number.

1164216060 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 1164216060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025144576).

1164216060 is an abundant number, since it is smaller than the sum of its proper divisors (2886073092).

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

1164216060 is a wasteful number, since it uses less digits than its factorization.

1164216060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1164216060 is about 34120.6104869183. The cubic root of 1164216060 is about 1051.9889918224.

The spelling of 1164216060 in words is "one billion, one hundred sixty-four million, two hundred sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 311 315 420 622 630 933 1244 1260 1555 1866 2177 2799 2971 3110 3732 4354 4665 5598 5942 6220 6531 8708 8913 9330 10885 11196 11884 13062 13995 14855 17826 18660 19593 20797 21770 26124 26739 27990 29710 32655 35652 39186 41594 43540 44565 53478 55980 59420 62391 65310 78372 83188 89130 97965 103985 106956 124782 130620 133695 178260 187173 195930 207970 249564 267390 311955 374346 391860 415940 534780 623910 748692 923981 935865 1247820 1847962 1871730 2771943 3695924 3743460 4619905 5543886 6467867 8315829 9239810 11087772 12935734 13859715 16631658 18479620 19403601 25871468 27719430 32339335 33263316 38807202 41579145 55438860 58210803 64678670 77614404 83158290 97018005 116421606 129357340 166316580 194036010 232843212 291054015 388072020 582108030 1164216060