Search a number
-
+
1066834912 = 251113376301
BaseRepresentation
bin111111100101101…
…001101111100000
32202100102211101011
4333211221233200
54141102204122
6253505550304
735302642603
oct7745515740
92670384334
101066834912
114a8222950
12259345394
1314003b180
14a198833a
15639d4377
hex3f969be0

1066834912 has 96 divisors (see below), whose sum is σ = 2534613984. Its totient is φ = 435456000.

The previous prime is 1066834907. The next prime is 1066834913. The reversal of 1066834912 is 2194386601.

It is a super-2 number, since 2×10668349122 = 2276273458924095488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066834913) 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, 166162 + ... + 172462.

It is an arithmetic number, because the mean of its divisors is an integer number (26402229).

Almost surely, 21066834912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066834912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267306992).

1066834912 is an abundant number, since it is smaller than the sum of its proper divisors (1467779072).

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

1066834912 is a wasteful number, since it uses less digits than its factorization.

1066834912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1066834912 is about 32662.4388556642. The cubic root of 1066834912 is about 1021.7996270280.

The spelling of 1066834912 in words is "one billion, sixty-six million, eight hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 74 88 104 143 148 176 208 286 296 352 407 416 481 572 592 814 962 1144 1184 1628 1924 2288 3256 3848 4576 5291 6301 6512 7696 10582 12602 13024 15392 21164 25204 42328 50408 69311 81913 84656 100816 138622 163826 169312 201632 233137 277244 327652 466274 554488 655304 901043 932548 1108976 1310608 1802086 1865096 2217952 2564507 2621216 3030781 3604172 3730192 5129014 6061562 7208344 7460384 10258028 12123124 14416688 20516056 24246248 28833376 33338591 41032112 48492496 66677182 82064224 96984992 133354364 266708728 533417456 1066834912