[go: up one dir, main page]

Search a number
-
+
5730660000 = 253254133179
BaseRepresentation
bin1010101011001001…
…01110111010100000
3112210101020200122200
411111210232322200
543214022110000
62344351533200
7262003543362
oct52544567240
915711220580
105730660000
11248089874a
12113b22a200
137043444a0
143c513ad32
15238183500
hex15592eea0

5730660000 has 720 divisors, whose sum is σ = 22924661760. Its totient is φ = 1347840000.

The previous prime is 5730659981. The next prime is 5730660049. The reversal of 5730660000 is 660375.

5730660000 is a `hidden beast` number, since 57 + 3 + 0 + 6 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72539961 + ... + 72540039.

It is an arithmetic number, because the mean of its divisors is an integer number (31839808).

Almost surely, 25730660000 is an apocalyptic number.

5730660000 is a gapful number since it is divisible by the number (50) 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 5730660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462330880).

5730660000 is an abundant number, since it is smaller than the sum of its proper divisors (17194001760).

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

5730660000 is a wasteful number, since it uses less digits than its factorization.

5730660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5730660000 is about 75701.1228450411. The cubic root of 5730660000 is about 1789.5130954108.

The spelling of 5730660000 in words is "five billion, seven hundred thirty million, six hundred sixty thousand".