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189111168 = 27321391181
BaseRepresentation
bin10110100010110…
…01101110000000
3111011211211202100
423101121232000
5341403024133
630433150400
74454263341
oct1321315600
9434754670
10189111168
1197826024
12533bb400
1330243ccc
141b18a0c8
1511907e13
hexb459b80

189111168 has 96 divisors (see below), whose sum is σ = 548566200. Its totient is φ = 62530560.

The previous prime is 189111121. The next prime is 189111187. The reversal of 189111168 is 861111981.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159538 + ... + 160718.

Almost surely, 2189111168 is an apocalyptic number.

189111168 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 189111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274283100).

189111168 is an abundant number, since it is smaller than the sum of its proper divisors (359455032).

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

189111168 is a wasteful number, since it uses less digits than its factorization.

189111168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

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

The square root of 189111168 is about 13751.7696315783. The cubic root of 189111168 is about 573.9918495688.

The spelling of 189111168 in words is "one hundred eighty-nine million, one hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 384 417 556 576 834 1112 1152 1181 1251 1668 2224 2362 2502 3336 3543 4448 4724 5004 6672 7086 8896 9448 10008 10629 13344 14172 17792 18896 20016 21258 26688 28344 37792 40032 42516 53376 56688 75584 80064 85032 113376 151168 160128 164159 170064 226752 328318 340128 453504 492477 656636 680256 984954 1313272 1360512 1477431 1969908 2626544 2954862 3939816 5253088 5909724 7879632 10506176 11819448 15759264 21012352 23638896 31518528 47277792 63037056 94555584 189111168