Search a number
-
+
5430247680 = 2835112132931
BaseRepresentation
bin1010000111010101…
…10000000100000000
3112000102222011102110
411003222300010000
542110120411210
62254501015320
7251365225614
oct50352600400
915012864373
105430247680
112337262500
1210766b4540
13687030b10
1439729b344
1521bae2420
hex143ab0100

5430247680 has 864 divisors, whose sum is σ = 21922145280. Its totient is φ = 1135411200.

The previous prime is 5430247637. The next prime is 5430247699. The reversal of 5430247680 is 867420345.

It is a happy number.

It is a super-2 number, since 2×54302476802 = 58975179732290764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175169265 + ... + 175169295.

Almost surely, 25430247680 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 5430247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961072640).

5430247680 is an abundant number, since it is smaller than the sum of its proper divisors (16491897600).

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

5430247680 is a wasteful number, since it uses less digits than its factorization.

5430247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 5430247680 is about 73690.2142757096. The cubic root of 5430247680 is about 1757.6802772256.

The spelling of 5430247680 in words is "five billion, four hundred thirty million, two hundred forty-seven thousand, six hundred eighty".