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1141309860 = 2235194912039
BaseRepresentation
bin100010000000111…
…0000000110100100
32221112120112210120
41010001300012210
54314133403420
6305130121540
740165654665
oct10401600644
92845515716
101141309860
1153626aa99
1227a2802b0
131525b57a2
14ab81336c
156a2e5d40
hex440701a4

1141309860 has 96 divisors (see below), whose sum is σ = 3372364800. Its totient is φ = 287602560.

The previous prime is 1141309853. The next prime is 1141309861. The reversal of 1141309860 is 689031411.

It is not an unprimeable number, because it can be changed into a prime (1141309861) 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, 558721 + ... + 560759.

It is an arithmetic number, because the mean of its divisors is an integer number (35128800).

Almost surely, 21141309860 is an apocalyptic number.

1141309860 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 1141309860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686182400).

1141309860 is an abundant number, since it is smaller than the sum of its proper divisors (2231054940).

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

1141309860 is a wasteful number, since it uses less digits than its factorization.

1141309860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1141309860 is about 33783.2778161030. The cubic root of 1141309860 is about 1045.0438723063.

The spelling of 1141309860 in words is "one billion, one hundred forty-one million, three hundred nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 491 570 982 1140 1473 1964 2039 2455 2946 4078 4910 5892 6117 7365 8156 9329 9820 10195 12234 14730 18658 20390 24468 27987 29460 30585 37316 38741 40780 46645 55974 61170 77482 93290 111948 116223 122340 139935 154964 186580 193705 232446 279870 387410 464892 559740 581115 774820 1001149 1162230 2002298 2324460 3003447 4004596 5005745 6006894 10011490 12013788 15017235 19021831 20022980 30034470 38043662 57065493 60068940 76087324 95109155 114130986 190218310 228261972 285327465 380436620 570654930 1141309860