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161119008 = 25324711903
BaseRepresentation
bin10011001101001…
…11101100100000
3102020011200201200
421212213230200
5312221302013
623553201200
73664326501
oct1146475440
9366150650
10161119008
1182a47106
1245b60200
13274c2bbb
1417580ba8
15e228e73
hex99a7b20

161119008 has 72 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 52559232.

The previous prime is 161118977. The next prime is 161119009. The reversal of 161119008 is 800911161.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (161119009) 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 11 ways as a sum of consecutive naturals, for example, 7585 + ... + 19487.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2161119008 is an apocalyptic number.

161119008 is a gapful number since it is divisible by the number (18) 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 161119008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

161119008 is an abundant number, since it is smaller than the sum of its proper divisors (306851040).

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

161119008 is a wasteful number, since it uses less digits than its factorization.

161119008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 161119008 is about 12693.2662463213. The cubic root of 161119008 is about 544.1461905258.

The spelling of 161119008 in words is "one hundred sixty-one million, one hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 11903 13536 23806 35709 47612 71418 95224 107127 142836 190448 214254 285672 380896 428508 559441 571344 857016 1118882 1142688 1678323 1714032 2237764 3356646 3428064 4475528 5034969 6713292 8951056 10069938 13426584 17902112 20139876 26853168 40279752 53706336 80559504 161119008