Search a number
-
+
20197457280 = 273257111331113
BaseRepresentation
bin10010110011110111…
…001011110110000000
31221010121002010201100
4102303313023312000
5312331022113110
613140101334400
71313340361050
oct226367136600
957117063640
1020197457280
118624a35660
123ab8107400
131b9b581770
14d98605560
157d3271bc0
hex4b3dcbd80

20197457280 has 1536 divisors, whose sum is σ = 97518919680. Its totient is φ = 3715891200.

The previous prime is 20197457279. The next prime is 20197457299. The reversal of 20197457280 is 8275479102.

It is a happy number.

20197457280 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 74 + 572 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178738504 + ... + 178738616.

It is an arithmetic number, because the mean of its divisors is an integer number (63488880).

Almost surely, 220197457280 is an apocalyptic number.

20197457280 is a gapful number since it is divisible by the number (20) 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 20197457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48759459840).

20197457280 is an abundant number, since it is smaller than the sum of its proper divisors (77321462400).

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

20197457280 is a wasteful number, since it uses less digits than its factorization.

20197457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20197457280 in words is "twenty billion, one hundred ninety-seven million, four hundred fifty-seven thousand, two hundred eighty".