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1066676480 = 2851734817
BaseRepresentation
bin111111100101000…
…011000100000000
32202100010210001022
4333211003010000
54141032121410
6253502325012
735301412652
oct7745030400
92670123038
101066676480
114a8124911
12259289768
1313ccb401c
14a19466d2
15639a2455
hex3f943100

1066676480 has 72 divisors (see below), whose sum is σ = 2570325912. Its totient is φ = 424116224.

The previous prime is 1066676449. The next prime is 1066676491. The reversal of 1066676480 is 846766601.

It can be written as a sum of positive squares in 4 ways, for example, as 107163904 + 959512576 = 10352^2 + 30976^2 .

It is a super-2 number, since 2×10666764802 = 2275597425970380800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219032 + ... + 223848.

It is an arithmetic number, because the mean of its divisors is an integer number (35698971).

Almost surely, 21066676480 is an apocalyptic number.

1066676480 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 1066676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285162956).

1066676480 is an abundant number, since it is smaller than the sum of its proper divisors (1503649432).

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

1066676480 is an equidigital number, since it uses as much as digits as its factorization.

1066676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 1066676480 is about 32660.0134721344. The cubic root of 1066676480 is about 1021.7490432026.

The spelling of 1066676480 in words is "one billion, sixty-six million, six hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 256 320 346 640 692 865 1280 1384 1730 2768 3460 4817 5536 6920 9634 11072 13840 19268 22144 24085 27680 38536 44288 48170 55360 77072 96340 110720 154144 192680 221440 308288 385360 616576 770720 833341 1233152 1541440 1666682 3082880 3333364 4166705 6165760 6666728 8333410 13333456 16666820 26666912 33333640 53333824 66667280 106667648 133334560 213335296 266669120 533338240 1066676480