Search a number
-
+
1066606104 = 233379191307
BaseRepresentation
bin111111100100110…
…001111000011000
32202100000012111210
4333210301320120
54141022343404
6253501023120
735301000534
oct7744617030
92670005453
101066606104
114a8086a53
12259254aa0
1313cc8ac95
14a1928bc4
156398b689
hex3f931e18

1066606104 has 64 divisors (see below), whose sum is σ = 2743660800. Its totient is φ = 345285504.

The previous prime is 1066606063. The next prime is 1066606127. The reversal of 1066606104 is 4016066601.

It is a super-2 number, since 2×10666061042 = 2275297162180117632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815419 + ... + 816725.

It is an arithmetic number, because the mean of its divisors is an integer number (42869700).

Almost surely, 21066606104 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 1066606104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371830400).

1066606104 is an abundant number, since it is smaller than the sum of its proper divisors (1677054696).

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

1066606104 is a wasteful number, since it uses less digits than its factorization.

1066606104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1066606104 is about 32658.9360512556. The cubic root of 1066606104 is about 1021.7265720993.

The spelling of 1066606104 in words is "one billion, sixty-six million, six hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 919 1307 1838 2614 2757 3676 3921 5228 5514 7352 7842 10456 11028 15684 22056 31368 34003 48359 68006 96718 102009 136012 145077 193436 204018 272024 290154 386872 408036 580308 816072 1160616 1201133 2402266 3603399 4804532 7206798 9609064 14413596 28827192 44441921 88883842 133325763 177767684 266651526 355535368 533303052 1066606104