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190668816 = 24341311317
BaseRepresentation
bin10110101110101…
…10000000010000
3111021202222110000
423113112000100
5342302400231
630530410000
74503441522
oct1327260020
9437688400
10190668816
119869a338
1253a30900
133066acb0
141b473a12
1511b146e6
hexb5d6010

190668816 has 100 divisors (see below), whose sum is σ = 594353452. Its totient is φ = 58662144.

The previous prime is 190668811. The next prime is 190668853. The reversal of 190668816 is 618866091.

It is a happy number.

190668816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116640000 + 74028816 = 10800^2 + 8604^2 .

It is not an unprimeable number, because it can be changed into a prime (190668811) 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 19 ways as a sum of consecutive naturals, for example, 11190 + ... + 22506.

Almost surely, 2190668816 is an apocalyptic number.

190668816 is a gapful number since it is divisible by the number (16) 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 190668816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297176726).

190668816 is an abundant number, since it is smaller than the sum of its proper divisors (403684636).

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

190668816 is a wasteful number, since it uses less digits than its factorization.

190668816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350 (or 11335 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 190668816 is about 13808.2879460127. The cubic root of 190668816 is about 575.5634713383.

The spelling of 190668816 in words is "one hundred ninety million, six hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 11317 16848 22634 33951 45268 67902 90536 101853 135804 147121 181072 203706 271608 294242 305559 407412 441363 543216 588484 611118 814824 882726 916677 1176968 1222236 1324089 1629648 1765452 1833354 2353936 2444472 2648178 3530904 3666708 3972267 4888944 5296356 7061808 7333416 7944534 10592712 11916801 14666832 15889068 21185424 23833602 31778136 47667204 63556272 95334408 190668816