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116973768 = 23323892381
BaseRepresentation
bin1101111100011…
…10000011001000
322011002212211210
412332032003020
5214421130033
615335053120
72620155252
oct676160310
9264085753
10116973768
116003513a
12332111a0
131b307662
141176ccd2
15a408d63
hex6f8e0c8

116973768 has 64 divisors (see below), whose sum is σ = 308707200. Its totient is φ = 36861440.

The previous prime is 116973763. The next prime is 116973793. The reversal of 116973768 is 867379611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116973763) 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 15 ways as a sum of consecutive naturals, for example, 47938 + ... + 50318.

It is an arithmetic number, because the mean of its divisors is an integer number (4823550).

Almost surely, 2116973768 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 116973768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154353600).

116973768 is an abundant number, since it is smaller than the sum of its proper divisors (191733432).

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

116973768 is a wasteful number, since it uses less digits than its factorization.

116973768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2498 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 116973768 is about 10815.4411837890. The cubic root of 116973768 is about 489.0607692093.

The spelling of 116973768 in words is "one hundred sixteen million, nine hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 534 552 712 1068 2047 2136 2381 4094 4762 6141 7143 8188 9524 12282 14286 16376 19048 24564 28572 49128 54763 57144 109526 164289 211909 219052 328578 423818 438104 635727 657156 847636 1271454 1314312 1695272 2542908 4873907 5085816 9747814 14621721 19495628 29243442 38991256 58486884 116973768