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1161045540 = 22325191931759
BaseRepresentation
bin100010100110100…
…0010011000100100
32222220201020001200
41011031002120210
54334211424130
6311113122500
740525503264
oct10515023044
92886636050
101161045540
1154641a776
122849b9430
131567057c5
14b02ad7a4
156bde3760
hex45342624

1161045540 has 144 divisors (see below), whose sum is σ = 3728524800. Its totient is φ = 291631104.

The previous prime is 1161045539. The next prime is 1161045547. The reversal of 1161045540 is 455401611.

1161045540 is a `hidden beast` number, since 1 + 1 + 6 + 104 + 554 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1161045547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659181 + ... + 660939.

Almost surely, 21161045540 is an apocalyptic number.

1161045540 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 1161045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864262400).

1161045540 is an abundant number, since it is smaller than the sum of its proper divisors (2567479260).

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

1161045540 is a wasteful number, since it uses less digits than its factorization.

1161045540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1161045540 is about 34074.1183304866. The cubic root of 1161045540 is about 1051.0331599473.

The spelling of 1161045540 in words is "one billion, one hundred sixty-one million, forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 193 228 285 342 380 386 570 579 684 772 855 965 1140 1158 1710 1737 1759 1930 2316 2895 3420 3474 3518 3667 3860 5277 5790 6948 7036 7334 8685 8795 10554 11001 11580 14668 15831 17370 17590 18335 21108 22002 26385 31662 33003 33421 34740 35180 36670 44004 52770 55005 63324 66006 66842 73340 79155 100263 105540 110010 132012 133684 158310 165015 167105 200526 220020 300789 316620 330030 334210 339487 401052 501315 601578 660060 668420 678974 1002630 1018461 1203156 1357948 1503945 1697435 2005260 2036922 3007890 3055383 3394870 4073844 5092305 6015780 6110766 6450253 6789740 10184610 12221532 12900506 15276915 19350759 20369220 25801012 30553830 32251265 38701518 58052277 61107660 64502530 77403036 96753795 116104554 129005060 193507590 232209108 290261385 387015180 580522770 1161045540