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118132196 = 227131922931
BaseRepresentation
bin1110000101010…
…00110111100100
322020021201220112
413002220313210
5220220212241
615415552152
72633051510
oct702506744
9266251815
10118132196
1160756516
123368b658
131b621a10
1411991140
15a5871eb
hex70a8de4

118132196 has 144 divisors (see below), whose sum is σ = 286755840. Its totient is φ = 41368320.

The previous prime is 118132187. The next prime is 118132207. The reversal of 118132196 is 691231811.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3810701 + ... + 3810731.

It is an arithmetic number, because the mean of its divisors is an integer number (1991360).

Almost surely, 2118132196 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 118132196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377920).

118132196 is an abundant number, since it is smaller than the sum of its proper divisors (168623644).

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

118132196 is a wasteful number, since it uses less digits than its factorization.

118132196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its digits is 2592, while the sum is 32.

The square root of 118132196 is about 10868.8636020515. The cubic root of 118132196 is about 490.6699097517.

The spelling of 118132196 in words is "one hundred eighteen million, one hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 13 14 19 26 28 29 31 38 52 58 62 76 91 116 124 133 182 203 217 247 266 361 364 377 403 406 434 494 532 551 589 722 754 806 812 868 899 988 1102 1178 1444 1508 1612 1729 1798 2204 2356 2527 2639 2821 3458 3596 3857 4123 4693 5054 5278 5642 6293 6916 7163 7657 7714 8246 9386 10108 10469 10556 11191 11284 11687 12586 14326 15314 15428 16492 17081 18772 20938 22382 23374 25172 28652 30628 32851 34162 41876 44764 46748 50141 53599 65702 68324 73283 78337 81809 100282 107198 119567 131404 136097 145483 146566 156674 163618 200564 214396 222053 239134 272194 290966 293132 313348 324539 327236 444106 478268 544388 581932 649078 888212 952679 1018381 1298156 1554371 1905358 2036762 2271773 3108742 3810716 4073524 4219007 4543546 6217484 8438014 9087092 16876028 29533049 59066098 118132196