Search a number
-
+
1066379796 = 2233611571031
BaseRepresentation
bin111111100011111…
…010101000010100
32202022120201002000
4333203322220110
54140443123141
6253452115300
735266035666
oct7743725024
92668521060
101066379796
114a7a41a19
12259165b30
1313cc0bc81
14a18aa536
15639445b6
hex3f8faa14

1066379796 has 96 divisors (see below), whose sum is σ = 2830652160. Its totient is φ = 347068800.

The previous prime is 1066379773. The next prime is 1066379801. The reversal of 1066379796 is 6979736601.

It is a super-2 number, since 2×10663797962 = 2274331738634003232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1033801 + ... + 1034831.

It is an arithmetic number, because the mean of its divisors is an integer number (29485960).

Almost surely, 21066379796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066379796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415326080).

1066379796 is an abundant number, since it is smaller than the sum of its proper divisors (1764272364).

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

1066379796 is a wasteful number, since it uses less digits than its factorization.

1066379796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 1066379796 is about 32655.4711495639. The cubic root of 1066379796 is about 1021.6543051048.

The spelling of 1066379796 in words is "one billion, sixty-six million, three hundred seventy-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 157 183 244 314 366 471 549 628 732 942 1031 1098 1413 1647 1884 2062 2196 2826 3093 3294 4124 4239 5652 6186 6588 8478 9279 9577 12372 16956 18558 19154 27837 28731 37116 38308 55674 57462 62891 86193 111348 114924 125782 161867 172386 188673 251564 258579 323734 344772 377346 485601 517158 566019 647468 754692 971202 1034316 1132038 1456803 1698057 1942404 2264076 2913606 3396114 4370409 5827212 6792228 8740818 9873887 17481636 19747774 29621661 39495548 59243322 88864983 118486644 177729966 266594949 355459932 533189898 1066379796