Search a number
-
+
1066734480 = 2435719231453
BaseRepresentation
bin111111100101010…
…001001110010000
32202100020201121110
4333211101032100
54141041000410
6253503453320
735302044030
oct7745211620
92670221543
101066734480
114a8164449
122592b7240
13140004546
14a195d8c0
15639b4720
hex3f951390

1066734480 has 320 divisors, whose sum is σ = 4154019840. Its totient is φ = 220796928.

The previous prime is 1066734443. The next prime is 1066734527. The reversal of 1066734480 is 844376601.

1066734480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10667344802 = 2275844901641740800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733434 + ... + 734886.

It is an arithmetic number, because the mean of its divisors is an integer number (12981312).

Almost surely, 21066734480 is an apocalyptic number.

1066734480 is a gapful number since it is divisible by the number (10) 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 1066734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077009920).

1066734480 is an abundant number, since it is smaller than the sum of its proper divisors (3087285360).

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

1066734480 is a wasteful number, since it uses less digits than its factorization.

1066734480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1066734480 is about 32660.9013960117. The cubic root of 1066734480 is about 1021.7675618980.

The spelling of 1066734480 in words is "one billion, sixty-six million, seven hundred thirty-four thousand, four hundred eighty".