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5430764000 = 25532335827
BaseRepresentation
bin1010000111011001…
…01110000111100000
3112000110221101200102
411003230232013200
542110233422000
62254520041532
7251402506124
oct50354560740
915013841612
105430764000
112337585412
1210769032a8
13687181b2c
14397393584
1521bb953d5
hex143b2e1e0

5430764000 has 96 divisors (see below), whose sum is σ = 13402954656. Its totient is φ = 2162611200.

The previous prime is 5430763999. The next prime is 5430764021. The reversal of 5430764000 is 4670345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929087 + ... + 934913.

It is an arithmetic number, because the mean of its divisors is an integer number (139614111).

Almost surely, 25430764000 is an apocalyptic number.

5430764000 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 5430764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701477328).

5430764000 is an abundant number, since it is smaller than the sum of its proper divisors (7972190656).

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

5430764000 is a wasteful number, since it uses less digits than its factorization.

5430764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 5430764000 is about 73693.7175069897. The cubic root of 5430764000 is about 1757.7359835072.

The spelling of 5430764000 in words is "five billion, four hundred thirty million, seven hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 233 250 400 466 500 800 932 1000 1165 1864 2000 2330 3728 4000 4660 5825 5827 7456 9320 11650 11654 18640 23300 23308 29125 29135 37280 46600 46616 58250 58270 93200 93232 116500 116540 145675 186400 186464 233000 233080 291350 466000 466160 582700 728375 932000 932320 1165400 1357691 1456750 2330800 2715382 2913500 4661600 5430764 5827000 6788455 10861528 11654000 13576910 21723056 23308000 27153820 33942275 43446112 54307640 67884550 108615280 135769100 169711375 217230560 271538200 339422750 543076400 678845500 1086152800 1357691000 2715382000 5430764000