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161768112 = 243111512029
BaseRepresentation
bin10011010010001…
…10001010110000
3102021101200010120
421221012022300
5312403034422
624015130240
74003002102
oct1151061260
9367350116
10161768112
118334a860
1246213980
132768c49c
14176ad572
15e30645c
hex9a462b0

161768112 has 80 divisors (see below), whose sum is σ = 459137280. Its totient is φ = 48672000.

The previous prime is 161768111. The next prime is 161768171. The reversal of 161768112 is 211867161.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (161768111) 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 15 ways as a sum of consecutive naturals, for example, 78714 + ... + 80742.

It is an arithmetic number, because the mean of its divisors is an integer number (5739216).

Almost surely, 2161768112 is an apocalyptic number.

161768112 is a gapful number since it is divisible by the number (12) 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 161768112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229568640).

161768112 is an abundant number, since it is smaller than the sum of its proper divisors (297369168).

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

161768112 is a wasteful number, since it uses less digits than its factorization.

161768112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 161768112 is about 12718.8093782398. The cubic root of 161768112 is about 544.8759496583.

The spelling of 161768112 in words is "one hundred sixty-one million, seven hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 151 176 264 302 453 528 604 906 1208 1661 1812 2029 2416 3322 3624 4058 4983 6087 6644 7248 8116 9966 12174 13288 16232 19932 22319 24348 26576 32464 39864 44638 48696 66957 79728 89276 97392 133914 178552 267828 306379 357104 535656 612758 919137 1071312 1225516 1838274 2451032 3370169 3676548 4902064 6740338 7353096 10110507 13480676 14706192 20221014 26961352 40442028 53922704 80884056 161768112