Search a number
-
+
1066517340 = 223573291787
BaseRepresentation
bin111111100100011…
…100001101011100
32202022211200202020
4333210130031130
54141012023330
6253455100140
735300151000
oct7744341534
92668750666
101066517340
114a8026299
12259211650
1313cc59765
14a1904700
1563970210
hex3f91c35c

1066517340 has 192 divisors, whose sum is σ = 3604608000. Its totient is φ = 235237632.

The previous prime is 1066517327. The next prime is 1066517359. The reversal of 1066517340 is 437156601.

It is a super-2 number, since 2×10665173402 = 2274918473041351200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595927 + ... + 597713.

It is an arithmetic number, because the mean of its divisors is an integer number (18774000).

Almost surely, 21066517340 is an apocalyptic number.

1066517340 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 1066517340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802304000).

1066517340 is an abundant number, since it is smaller than the sum of its proper divisors (2538090660).

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

1066517340 is a wasteful number, since it uses less digits than its factorization.

1066517340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1066517340 is about 32657.5770687294. The cubic root of 1066517340 is about 1021.6982282858.

The spelling of 1066517340 in words is "one billion, sixty-six million, five hundred seventeen thousand, three hundred forty".