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1066121340 = 2235172414337
BaseRepresentation
bin111111100010111…
…011100001111100
32202022002120112120
4333202323201330
54140411340330
6253442402540
735263611324
oct7742734174
92668076476
101066121340
114a7885819
12259060450
1313cb4b43b
14a1840284
15638e2c10
hex3f8bb87c

1066121340 has 96 divisors (see below), whose sum is σ = 3174583104. Its totient is φ = 266403840.

The previous prime is 1066121333. The next prime is 1066121347. The reversal of 1066121340 is 431216601.

It is an interprime number because it is at equal distance from previous prime (1066121333) and next prime (1066121347).

It is a super-2 number, since 2×10661213402 = 2273229423206791200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066121340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066121347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243652 + ... + 247988.

It is an arithmetic number, because the mean of its divisors is an integer number (33068574).

Almost surely, 21066121340 is an apocalyptic number.

1066121340 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 1066121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587291552).

1066121340 is an abundant number, since it is smaller than the sum of its proper divisors (2108461764).

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

1066121340 is a wasteful number, since it uses less digits than its factorization.

1066121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1066121340 is about 32651.5135943190. The cubic root of 1066121340 is about 1021.5717597735.

Adding to 1066121340 its reverse (431216601), we get a palindrome (1497337941).

The spelling of 1066121340 in words is "one billion, sixty-six million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 241 255 340 482 510 723 964 1020 1205 1446 2410 2892 3615 4097 4337 4820 7230 8194 8674 12291 13011 14460 16388 17348 20485 21685 24582 26022 40970 43370 49164 52044 61455 65055 73729 81940 86740 122910 130110 147458 221187 245820 260220 294916 368645 442374 737290 884748 1045217 1105935 1474580 2090434 2211870 3135651 4180868 4423740 5226085 6271302 10452170 12542604 15678255 17768689 20904340 31356510 35537378 53306067 62713020 71074756 88843445 106612134 177686890 213224268 266530335 355373780 533060670 1066121340