Search a number
-
+
16798180 = 2257261281
BaseRepresentation
bin100000000010…
…1000111100100
31011121102202211
41000011013210
513300020210
61400013204
7262532200
oct100050744
934542684
1016798180
1195337a3
125761204
133631c69
142333b00
15171c38a
hex10051e4

16798180 has 72 divisors (see below), whose sum is σ = 41856696. Its totient is φ = 5644800.

The previous prime is 16798157. The next prime is 16798181. The reversal of 16798180 is 8189761.

16798180 = T74 + T75 + ... + T465.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 16597476 = 448^2 + 4074^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16798181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59640 + ... + 59920.

It is an arithmetic number, because the mean of its divisors is an integer number (581343).

Almost surely, 216798180 is an apocalyptic number.

16798180 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 16798180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20928348).

16798180 is an abundant number, since it is smaller than the sum of its proper divisors (25058516).

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

16798180 is a wasteful number, since it uses less digits than its factorization.

16798180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 16798180 is about 4098.5582831040. The cubic root of 16798180 is about 256.1065840362.

The spelling of 16798180 in words is "sixteen million, seven hundred ninety-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 281 305 427 490 562 610 854 980 1124 1220 1405 1708 1967 2135 2810 2989 3934 4270 5620 5978 7868 8540 9835 11956 13769 14945 17141 19670 27538 29890 34282 39340 55076 59780 68564 68845 85705 119987 137690 171410 239974 275380 342820 479948 599935 839909 1199870 1679818 2399740 3359636 4199545 8399090 16798180