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1160984968 = 23111319311723
BaseRepresentation
bin100010100110011…
…0011100110001000
32222220121010222021
41011030303212020
54334203004333
6311111534224
740525131553
oct10514634610
92886533867
101160984968
11546389210
1228498a374
131566b4070
14b029569a
156bdd082d
hex45333988

1160984968 has 128 divisors (see below), whose sum is σ = 2780467200. Its totient is φ = 446342400.

The previous prime is 1160984963. The next prime is 1160984977. The reversal of 1160984968 is 8694890611.

It is a super-2 number, since 2×11609849682 = 2695772191843922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1160984963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672955 + ... + 674677.

It is an arithmetic number, because the mean of its divisors is an integer number (21722400).

Almost surely, 21160984968 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 1160984968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390233600).

1160984968 is an abundant number, since it is smaller than the sum of its proper divisors (1619482232).

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

1160984968 is a wasteful number, since it uses less digits than its factorization.

1160984968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The square root of 1160984968 is about 34073.2294917872. The cubic root of 1160984968 is about 1051.0148820861.

The spelling of 1160984968 in words is "one billion, one hundred sixty million, nine hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 19 22 26 31 38 44 52 62 76 88 104 124 143 152 209 247 248 286 341 403 418 494 572 589 682 806 836 988 1144 1178 1364 1612 1672 1723 1976 2356 2717 2728 3224 3446 4433 4712 5434 6479 6892 7657 8866 10868 12958 13784 15314 17732 18953 21736 22399 25916 30628 32737 35464 37906 44798 51832 53413 61256 65474 75812 84227 89596 106826 130948 151624 168454 179192 213652 246389 261896 336908 360107 425581 427304 492778 587543 673816 694369 720214 851162 985556 1014847 1175086 1388738 1440428 1702324 1971112 2029694 2350172 2777476 2880856 3404648 4059388 4681391 4700344 5554952 7638059 8118776 9362782 11163317 13193011 15276118 18725564 22326634 26386022 30552236 37451128 44653268 52772044 61104472 89306536 105544088 145123121 290246242 580492484 1160984968