Search a number
-
+
1066199472 = 2432131733503
BaseRepresentation
bin111111100011001…
…110100110110000
32202022020112201100
4333203032212300
54140421340342
6253444204400
735264355162
oct7743164660
92668215640
101066199472
114a7929498
12259099700
1313cb77b80
14a1860932
156390ae4c
hex3f8ce9b0

1066199472 has 120 divisors (see below), whose sum is σ = 3402532224. Its totient is φ = 308754432.

The previous prime is 1066199447. The next prime is 1066199473. The reversal of 1066199472 is 2749916601.

It is a super-2 number, since 2×10661994722 = 2273562628186157568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066199473) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15073 + ... + 48575.

Almost surely, 21066199472 is an apocalyptic number.

1066199472 is a gapful number since it is divisible by the number (12) 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 1066199472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701266112).

1066199472 is an abundant number, since it is smaller than the sum of its proper divisors (2336332752).

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

1066199472 is a wasteful number, since it uses less digits than its factorization.

1066199472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33547 (or 33538 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1066199472 is about 32652.7100253562. The cubic root of 1066199472 is about 1021.5967148738.

The spelling of 1066199472 in words is "one billion, sixty-six million, one hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 33503 67006 100509 134012 201018 268024 301527 402036 435539 536048 569551 603054 804072 871078 1139102 1206108 1306617 1608144 1708653 1742156 2278204 2412216 2613234 3417306 3484312 3919851 4556408 4824432 5125959 5226468 6834612 6968624 7404163 7839702 9112816 10251918 10452936 13669224 14808326 15679404 20503836 20905872 22212489 27338448 29616652 31358808 41007672 44424978 59233304 62717616 66637467 82015344 88849956 118466608 133274934 177699912 266549868 355399824 533099736 1066199472