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1166001330 = 2351323433023
BaseRepresentation
bin100010101111111…
…1100010010110010
310000021001000010110
41011133330102302
54341444020310
6311411242150
740615563534
oct10537742262
93007030113
101166001330
115491a506a
122865a9356
1315774c420
14b0bdd854
156c571d20
hex457fc4b2

1166001330 has 128 divisors (see below), whose sum is σ = 3218890752. Its totient is φ = 268063488.

The previous prime is 1166001311. The next prime is 1166001349. The reversal of 1166001330 is 331006611.

It is an interprime number because it is at equal distance from previous prime (1166001311) and next prime (1166001349).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1166001297 and 1166001306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384199 + ... + 387221.

It is an arithmetic number, because the mean of its divisors is an integer number (25147584).

Almost surely, 21166001330 is an apocalyptic number.

1166001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609445376).

1166001330 is an abundant number, since it is smaller than the sum of its proper divisors (2052889422).

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

1166001330 is a wasteful number, since it uses less digits than its factorization.

1166001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1166001330 is about 34146.7616326937. The cubic root of 1166001330 is about 1052.5264422392.

Adding to 1166001330 its reverse (331006611), we get a palindrome (1497007941).

The spelling of 1166001330 in words is "one billion, one hundred sixty-six million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 43 46 65 69 78 86 115 129 130 138 195 215 230 258 299 345 390 430 559 598 645 690 897 989 1118 1290 1495 1677 1794 1978 2795 2967 2990 3023 3354 4485 4945 5590 5934 6046 8385 8970 9069 9890 12857 14835 15115 16770 18138 25714 29670 30230 38571 39299 45345 64285 69529 77142 78598 90690 117897 128570 129989 139058 192855 196495 208587 235794 259978 347645 385710 389967 392990 417174 589485 649945 695290 779934 903877 1042935 1178970 1299890 1689857 1807754 1949835 2085870 2711631 2989747 3379714 3899670 4519385 5069571 5423262 5979494 8449285 8969241 9038770 10139142 13558155 14948735 16898570 17938482 25347855 27116310 29897470 38866711 44846205 50695710 77733422 89692410 116600133 194333555 233200266 388667110 583000665 1166001330