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1161976068 = 2232112614373
BaseRepresentation
bin100010101000010…
…0101100100000100
32222222110111111200
41011100211210010
54334431213233
6311145102500
740536430221
oct10520454404
92888414450
101161976068
115469a5900
12285187a30
13156970206
14b0472948
156c029313
hex45425904

1161976068 has 108 divisors (see below), whose sum is σ = 3282188364. Its totient is φ = 346262400.

The previous prime is 1161976043. The next prime is 1161976091. The reversal of 1161976068 is 8606791611.

It can be written as a sum of positive squares in 2 ways, for example, as 287709444 + 874266624 = 16962^2 + 29568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 263530 + ... + 267902.

It is an arithmetic number, because the mean of its divisors is an integer number (30390633).

Almost surely, 21161976068 is an apocalyptic number.

1161976068 is a gapful number since it is divisible by the number (18) 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 1161976068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641094182).

1161976068 is an abundant number, since it is smaller than the sum of its proper divisors (2120212296).

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

1161976068 is a wasteful number, since it uses less digits than its factorization.

1161976068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1161976068 is about 34087.7700649368. The cubic root of 1161976068 is about 1051.3138709065.

It can be divided in two parts, 116197 and 6068, that added together give a triangular number (122265 = T494).

The spelling of 1161976068 in words is "one billion, one hundred sixty-one million, nine hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 121 122 132 183 198 242 244 363 366 396 484 549 671 726 732 1089 1098 1342 1452 2013 2178 2196 2684 4026 4356 4373 6039 7381 8052 8746 12078 13119 14762 17492 22143 24156 26238 29524 39357 44286 48103 52476 66429 78714 88572 96206 132858 144309 157428 192412 265716 266753 288618 432927 529133 533506 577236 800259 865854 1058266 1067012 1587399 1600518 1731708 2116532 2400777 2934283 3174798 3201036 4762197 4801554 5868566 6349596 8802849 9524394 9603108 11737132 17605698 19048788 26408547 32277113 35211396 52817094 64554226 96831339 105634188 129108452 193662678 290494017 387325356 580988034 1161976068