Search a number
-
+
1106390064 = 243131993319
BaseRepresentation
bin100000111110010…
…0010110000110000
32212002212102211210
41001330202300300
54231213440224
6301441440120
736263106003
oct10174426060
92762772753
101106390064
1151858a25a
1226a640040
131482aa3a0
14a6d2353a
15671e9429
hex41f22c30

1106390064 has 80 divisors (see below), whose sum is σ = 3240070400. Its totient is φ = 322507008.

The previous prime is 1106390027. The next prime is 1106390069. The reversal of 1106390064 is 4600936011.

It is not an unprimeable number, because it can be changed into a prime (1106390069) 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, 34804 + ... + 58515.

It is an arithmetic number, because the mean of its divisors is an integer number (40500880).

Almost surely, 21106390064 is an apocalyptic number.

It is an amenable number.

1106390064 is an abundant number, since it is smaller than the sum of its proper divisors (2133680336).

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

1106390064 is a wasteful number, since it uses less digits than its factorization.

1106390064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93362 (or 93356 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1106390064 is about 33262.4422434673. The cubic root of 1106390064 is about 1034.2751469819.

It can be divided in two parts, 1106 and 390064, that added together give a triangular number (391170 = T884).

The spelling of 1106390064 in words is "one billion, one hundred six million, three hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 93319 186638 279957 373276 559914 746552 1119828 1213147 1493104 1773061 2239656 2426294 3546122 3639441 4479312 4852588 5319183 7092244 7278882 9705176 10638366 14184488 14557764 19410352 21276732 23049793 28368976 29115528 42553464 46099586 58231056 69149379 85106928 92199172 138298758 184398344 276597516 368796688 553195032 1106390064