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1189115136 = 28321146919
BaseRepresentation
bin100011011100000…
…0111010100000000
310001212112022022100
41012320013110000
54413403141021
6313554510400
741316211656
oct10670072400
93055468270
101189115136
11560251890
12292295400
1315c482c31
14b3cd8dd6
156e5da626
hex46e07500

1189115136 has 108 divisors (see below), whose sum is σ = 3740274720. Its totient is φ = 360330240.

The previous prime is 1189115131. The next prime is 1189115173. The reversal of 1189115136 is 6315119811.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1189115136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189115131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1885 + ... + 48803.

Almost surely, 21189115136 is an apocalyptic number.

1189115136 is a gapful number since it is divisible by the number (16) 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 1189115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870137360).

1189115136 is an abundant number, since it is smaller than the sum of its proper divisors (2551159584).

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

1189115136 is a wasteful number, since it uses less digits than its factorization.

1189115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46952 (or 46935 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 1189115136 is about 34483.5487732919. The cubic root of 1189115136 is about 1059.4357789965.

The spelling of 1189115136 in words is "one billion, one hundred eighty-nine million, one hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 46919 93838 140757 187676 281514 375352 422271 516109 563028 750704 844542 1032218 1126056 1501408 1548327 1689084 2064436 2252112 3002816 3096654 3378168 4128872 4504224 4644981 6005632 6193308 6756336 8257744 9008448 9289962 12011264 12386616 13512672 16515488 18016896 18579924 24773232 27025344 33030976 36033792 37159848 49546464 54050688 66061952 74319696 99092928 108101376 132123904 148639392 198185856 297278784 396371712 594557568 1189115136