Search a number
-
+
161032160 = 2551773811
BaseRepresentation
bin10011001100100…
…10011111100000
3102020000021121002
421212102133200
5312211012120
623551251132
73663515342
oct1146223740
9366007532
10161032160
1182997933
1245b19aa8
1327492503
141755b292
15e20d375
hex99927e0

161032160 has 96 divisors (see below), whose sum is σ = 408838752. Its totient is φ = 59719680.

The previous prime is 161032153. The next prime is 161032169. The reversal of 161032160 is 61230161.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161032169) 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, 198155 + ... + 198965.

It is an arithmetic number, because the mean of its divisors is an integer number (4258737).

Almost surely, 2161032160 is an apocalyptic number.

161032160 is a gapful number since it is divisible by the number (10) 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 161032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204419376).

161032160 is an abundant number, since it is smaller than the sum of its proper divisors (247806592).

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

161032160 is a wasteful number, since it uses less digits than its factorization.

161032160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 161032160 is about 12689.8447587037. The cubic root of 161032160 is about 544.0484025560.

The spelling of 161032160 in words is "one hundred sixty-one million, thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 73 80 85 136 146 160 170 272 292 340 365 544 584 680 730 811 1168 1241 1360 1460 1622 2336 2482 2720 2920 3244 4055 4964 5840 6205 6488 8110 9928 11680 12410 12976 13787 16220 19856 24820 25952 27574 32440 39712 49640 55148 59203 64880 68935 99280 110296 118406 129760 137870 198560 220592 236812 275740 296015 441184 473624 551480 592030 947248 1006451 1102960 1184060 1894496 2012902 2205920 2368120 4025804 4736240 5032255 8051608 9472480 10064510 16103216 20129020 32206432 40258040 80516080 161032160