[go: up one dir, main page]

Search a number
-
+
553313280 = 210351317163
BaseRepresentation
bin100000111110101…
…110010000000000
31102120011020010110
4200332232100000
52113122011110
6130523231320
716466041152
oct4076562000
91376136113
10553313280
11264370503
12135378540
138a830610
14536b2ad2
1533899a20
hex20fae400

553313280 has 352 divisors, whose sum is σ = 2030361984. Its totient is φ = 127401984.

The previous prime is 553313279. The next prime is 553313287. The reversal of 553313280 is 82313355.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (553313287) 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 31 ways as a sum of consecutive naturals, for example, 3394479 + ... + 3394641.

Almost surely, 2553313280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015180992).

553313280 is an abundant number, since it is smaller than the sum of its proper divisors (1477048704).

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

553313280 is a wasteful number, since it uses less digits than its factorization.

553313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 553313280 is about 23522.6120998498. The cubic root of 553313280 is about 820.9632147338.

The spelling of 553313280 in words is "five hundred fifty-three million, three hundred thirteen thousand, two hundred eighty".