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117131168 = 2572116791
BaseRepresentation
bin1101111101101…
…00011110100000
322011101212202102
412332310132200
5214441144133
615342305532
72621412200
oct676643640
9264355672
10117131168
1160132420
12332882a8
131b3611ab
14117b0400
15a43a7e8
hex6fb47a0

117131168 has 72 divisors (see below), whose sum is σ = 292680864. Its totient is φ = 45628800.

The previous prime is 117131149. The next prime is 117131171. The reversal of 117131168 is 861131711.

It is a self number, because there is not a number n which added to its sum of digits gives 117131168.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13853 + ... + 20643.

It is an arithmetic number, because the mean of its divisors is an integer number (4065012).

Almost surely, 2117131168 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 117131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146340432).

117131168 is an abundant number, since it is smaller than the sum of its proper divisors (175549696).

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

117131168 is a wasteful number, since it uses less digits than its factorization.

117131168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6811 counting only the distinct ones).

The product of its digits is 1008, while the sum is 29.

The square root of 117131168 is about 10822.7153709224. The cubic root of 117131168 is about 489.2800310857.

Adding to 117131168 its reverse (861131711), we get a palindrome (978262879).

The spelling of 117131168 in words is "one hundred seventeen million, one hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 6791 8624 13582 17248 27164 47537 54328 74701 95074 108656 149402 190148 217312 298804 332759 380296 522907 597608 665518 760592 1045814 1195216 1331036 1521184 2091628 2390432 2662072 3660349 4183256 5324144 7320698 8366512 10648288 14641396 16733024 29282792 58565584 117131168