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8430990960 = 2435721375233
BaseRepresentation
bin1111101101000011…
…01011011001110000
3210202120101201100110
413312201223121300
5114231313202320
63512333221320
7415633145400
oct76641533160
923676351313
108430990960
113637090327
121773631840
13a44915762
1459da18800
153452815e0
hex1f686b670

8430990960 has 240 divisors, whose sum is σ = 30630959136. Its totient is φ = 1912651776.

The previous prime is 8430990949. The next prime is 8430991031. The reversal of 8430990960 is 690990348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608504 + ... + 1613736.

Almost surely, 28430990960 is an apocalyptic number.

8430990960 is a gapful number since it is divisible by the number (80) 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 8430990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315479568).

8430990960 is an abundant number, since it is smaller than the sum of its proper divisors (22199968176).

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

8430990960 is a wasteful number, since it uses less digits than its factorization.

8430990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 8430990960 is about 91820.4277925125. The cubic root of 8430990960 is about 2035.2895739829.

The spelling of 8430990960 in words is "eight billion, four hundred thirty million, nine hundred ninety thousand, nine hundred sixty".