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1066307796 = 2232176832551
BaseRepresentation
bin111111100011101…
…001000011010100
32202022110001022100
4333203221003110
54140433322141
6253450402100
735265316041
oct7743510324
92668401270
101066307796
114a79a2914
12259130330
1313cbb5278
14a188c1c8
156392d0b6
hex3f8e90d4

1066307796 has 72 divisors (see below), whose sum is σ = 2859240384. Its totient is φ = 333907200.

The previous prime is 1066307777. The next prime is 1066307839. The reversal of 1066307796 is 6977036601.

1066307796 is a `hidden beast` number, since 1 + 0 + 6 + 630 + 7 + 7 + 9 + 6 = 666.

It is a super-2 number, since 2×10663077962 = 2274024631620755232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416721 + ... + 419271.

It is an arithmetic number, because the mean of its divisors is an integer number (39711672).

Almost surely, 21066307796 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 1066307796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429620192).

1066307796 is an abundant number, since it is smaller than the sum of its proper divisors (1792932588).

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

1066307796 is a wasteful number, since it uses less digits than its factorization.

1066307796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 1066307796 is about 32654.3687123178. The cubic root of 1066307796 is about 1021.6313111815.

The spelling of 1066307796 in words is "one billion, sixty-six million, three hundred seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 683 1366 2049 2551 2732 4098 5102 6147 7653 8196 10204 11611 12294 15306 22959 23222 24588 30612 34833 43367 45918 46444 69666 86734 91836 104499 130101 139332 173468 208998 260202 390303 417996 520404 780606 1561212 1742333 3484666 5226999 6969332 10453998 15680997 20907996 29619661 31361994 59239322 62723988 88858983 118478644 177717966 266576949 355435932 533153898 1066307796