Search a number
-
+
180421296 = 243112911783
BaseRepresentation
bin10101100000100…
…00001010110000
3110120111100111020
422300100022300
5332141440141
625523015440
74320361416
oct1260201260
9416440436
10180421296
1192930210
125050a580
132b4c0883
1419d672b6
1510c8d266
hexac102b0

180421296 has 80 divisors (see below), whose sum is σ = 526037760. Its totient is φ = 52783360.

The previous prime is 180421291. The next prime is 180421301. The reversal of 180421296 is 692124081.

It is an interprime number because it is at equal distance from previous prime (180421291) and next prime (180421301).

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 (180421291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9421 + ... + 21203.

It is an arithmetic number, because the mean of its divisors is an integer number (6575472).

Almost surely, 2180421296 is an apocalyptic number.

180421296 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 180421296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263018880).

180421296 is an abundant number, since it is smaller than the sum of its proper divisors (345616464).

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

180421296 is a wasteful number, since it uses less digits than its factorization.

180421296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 180421296 is about 13432.0994635984. The cubic root of 180421296 is about 565.0617793411.

The spelling of 180421296 in words is "one hundred eighty million, four hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 11783 15312 23566 35349 47132 70698 94264 129613 141396 188528 259226 282792 341707 388839 518452 565584 683414 777678 1025121 1036904 1366828 1555356 2050242 2073808 2733656 3110712 3758777 4100484 5467312 6221424 7517554 8200968 11276331 15035108 16401936 22552662 30070216 45105324 60140432 90210648 180421296