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119118168 = 23331359719
BaseRepresentation
bin1110001100110…
…01100101011000
322022010211102000
413012121211120
5220443240133
615453041000
72644326201
oct706314530
9268124360
10119118168
116126a274
1233a86160
131b8a8730
1411b6a5a8
15a6ce413
hex7199958

119118168 has 128 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 35980416.

The previous prime is 119118119. The next prime is 119118179. The reversal of 119118168 is 861811911.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 165313 + ... + 166031.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2119118168 is an apocalyptic number.

119118168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

119118168 is the 6903-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119118168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

119118168 is an abundant number, since it is smaller than the sum of its proper divisors (243761832).

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

119118168 is a wasteful number, since it uses less digits than its factorization.

119118168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its digits is 3456, while the sum is 36.

The square root of 119118168 is about 10914.1269921144. The cubic root of 119118168 is about 492.0312294276.

The spelling of 119118168 in words is "one hundred nineteen million, one hundred eighteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 59 72 78 104 108 117 118 156 177 216 234 236 312 351 354 468 472 531 702 708 719 767 936 1062 1404 1416 1438 1534 1593 2124 2157 2301 2808 2876 3068 3186 4248 4314 4602 5752 6136 6372 6471 6903 8628 9204 9347 12744 12942 13806 17256 18408 18694 19413 20709 25884 27612 28041 37388 38826 41418 42421 51768 55224 56082 74776 77652 82836 84123 84842 112164 127263 155304 165672 168246 169684 224328 252369 254526 336492 339368 381789 504738 509052 551473 672984 763578 1009476 1018104 1102946 1145367 1527156 1654419 2018952 2205892 2290734 3054312 3308838 4411784 4581468 4963257 6617676 9162936 9926514 13235352 14889771 19853028 29779542 39706056 59559084 119118168