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5780560900 = 225276032
BaseRepresentation
bin1010110001000110…
…00101110000000100
3112220212010220211011
411120203011300010
543314310422100
62353333252004
7263150646142
oct53043056004
915825126734
105780560900
1124a6a80a64
121153a94004
1371179674a
143cba0a592
1523c73dbba
hex1588c5c04

5780560900 has 27 divisors (see below), whose sum is σ = 12545467221. Its totient is φ = 2311920240.

The previous prime is 5780560883. The next prime is 5780560909. The reversal of 5780560900 is 90650875.

It is a happy number.

The square root of 5780560900 is 76030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2081001924 + 3699558976 = 45618^2 + 60824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5780560909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 756499 + ... + 764101.

Almost surely, 25780560900 is an apocalyptic number.

5780560900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5780560900 is the 76030-th square number.

It is an amenable number.

5780560900 is an abundant number, since it is smaller than the sum of its proper divisors (6764906321).

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

5780560900 is an frugal number, since it uses more digits than its factorization.

5780560900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15220 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The cubic root of 5780560900 is about 1794.6922758308.

The spelling of 5780560900 in words is "five billion, seven hundred eighty million, five hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7603 15206 30412 38015 76030 152060 190075 380150 760300 57805609 115611218 231222436 289028045 578056090 1156112180 1445140225 2890280450 5780560900