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1066361328 = 243323107323
BaseRepresentation
bin111111100011110…
…110000111110000
32202022112202202000
4333203312013300
54140442030303
6253451454000
735265631104
oct7743660760
92668482660
101066361328
114a7a2a05a
12259157300
1313cc03746
14a18a3904
156393dda3
hex3f8f61f0

1066361328 has 80 divisors (see below), whose sum is σ = 3193962240. Its totient is φ = 339996096.

The previous prime is 1066361327. The next prime is 1066361383. The reversal of 1066361328 is 8231636601.

1066361328 is a `hidden beast` number, since 1 + 0 + 6 + 636 + 13 + 2 + 8 = 666.

It is a super-2 number, since 2×10663613282 = 2274252963707847168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1066361292 and 1066361301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066361323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43726 + ... + 63597.

It is an arithmetic number, because the mean of its divisors is an integer number (39924528).

Almost surely, 21066361328 is an apocalyptic number.

1066361328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1066361328 is an abundant number, since it is smaller than the sum of its proper divisors (2127600912).

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

1066361328 is a wasteful number, since it uses less digits than its factorization.

1066361328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107363 (or 107351 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1066361328 is about 32655.1883779592. The cubic root of 1066361328 is about 1021.6484072621.

Adding to 1066361328 its reverse (8231636601), we get a palindrome (9297997929).

The spelling of 1066361328 in words is "one billion, sixty-six million, three hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 107323 214646 321969 429292 643938 858584 965907 1287876 1717168 1931814 2468429 2575752 2897721 3863628 4936858 5151504 5795442 7405287 7727256 9873716 11590884 14810574 15454512 19747432 22215861 23181768 29621148 39494864 44431722 46363536 59242296 66647583 88863444 118484592 133295166 177726888 266590332 355453776 533180664 1066361328