Search a number
-
+
160071168 = 293232197
BaseRepresentation
bin10011000101001…
…11111000000000
3102011012110100210
421202213320000
5311434234133
623514514120
73652403535
oct1142477000
9364173323
10160071168
11823a0924
1245735940
1327216c8a
141738ad8c
15e0bd763
hex98a7e00

160071168 has 120 divisors (see below), whose sum is σ = 448049448. Its totient is φ = 50778112.

The previous prime is 160071157. The next prime is 160071169. The reversal of 160071168 is 861170061.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160071169) 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, 812446 + ... + 812642.

Almost surely, 2160071168 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 160071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224024724).

160071168 is an abundant number, since it is smaller than the sum of its proper divisors (287978280).

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

160071168 is an equidigital number, since it uses as much as digits as its factorization.

160071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 160071168 is about 12651.9234901259. The cubic root of 160071168 is about 542.9640029181.

The spelling of 160071168 in words is "one hundred sixty million, seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 197 256 276 368 384 394 512 529 552 591 736 768 788 1058 1104 1182 1472 1536 1576 1587 2116 2208 2364 2944 3152 3174 4232 4416 4531 4728 5888 6304 6348 8464 8832 9062 9456 11776 12608 12696 13593 16928 17664 18124 18912 25216 25392 27186 33856 35328 36248 37824 50432 50784 54372 67712 72496 75648 100864 101568 104213 108744 135424 144992 151296 203136 208426 217488 270848 289984 302592 312639 406272 416852 434976 579968 625278 812544 833704 869952 1159936 1250556 1667408 1739904 2319872 2501112 3334816 3479808 5002224 6669632 6959616 10004448 13339264 20008896 26678528 40017792 53357056 80035584 160071168