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1160404020 = 2232517438819
BaseRepresentation
bin100010100101010…
…0101110000110100
32222212111122001200
41011022211300310
54334030412040
6311051252500
740520162046
oct10512456064
92885448050
101160404020
11546021796
1228474a130
1315653c7c9
14b0183a96
156bd18630
hex452a5c34

1160404020 has 144 divisors (see below), whose sum is σ = 3814050240. Its totient is φ = 284433408.

The previous prime is 1160404019. The next prime is 1160404031. The reversal of 1160404020 is 204040611.

1160404020 is a `hidden beast` number, since 1 + 1 + 604 + 0 + 40 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1160403984 and 1160404002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127171 + ... + 135989.

It is an arithmetic number, because the mean of its divisors is an integer number (26486460).

Almost surely, 21160404020 is an apocalyptic number.

1160404020 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 1160404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907025120).

1160404020 is an abundant number, since it is smaller than the sum of its proper divisors (2653646220).

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

1160404020 is a wasteful number, since it uses less digits than its factorization.

1160404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1160404020 is about 34064.7034333194. The cubic root of 1160404020 is about 1050.8395462340.

Adding to 1160404020 its reverse (204040611), we get a palindrome (1364444631).

The spelling of 1160404020 in words is "one billion, one hundred sixty million, four hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 129 153 170 172 180 204 215 255 258 306 340 387 430 510 516 612 645 731 765 774 860 1020 1290 1462 1530 1548 1935 2193 2580 2924 3060 3655 3870 4386 6579 7310 7740 8772 8819 10965 13158 14620 17638 21930 26316 26457 32895 35276 43860 44095 52914 65790 79371 88190 105828 131580 132285 149923 158742 176380 264570 299846 317484 379217 396855 449769 529140 599692 749615 758434 793710 899538 1137651 1349307 1499230 1516868 1587420 1799076 1896085 2248845 2275302 2698614 2998460 3412953 3792170 4497690 4550604 5397228 5688255 6446689 6746535 6825906 7584340 8995380 11376510 12893378 13493070 13651812 17064765 19340067 22753020 25786756 26986140 32233445 34129530 38680134 58020201 64466890 68259060 77360268 96700335 116040402 128933780 193400670 232080804 290101005 386801340 580202010 1160404020