Search a number
-
+
11010006 = 234721973
BaseRepresentation
bin101001111111…
…111111010110
3202201100220000
4221333333112
510304310011
61031552130
7162404100
oct51777726
922640800
1011010006
11623aa87
12382b646
1323864c7
141668570
15e77356
hexa7ffd6

11010006 has 120 divisors (see below), whose sum is σ = 30622680. Its totient is φ = 2939328.

The previous prime is 11009989. The next prime is 11010007. The reversal of 11010006 is 60001011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 11010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 150786 + ... + 150858.

It is an arithmetic number, because the mean of its divisors is an integer number (255189).

Almost surely, 211010006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311340).

11010006 is an abundant number, since it is smaller than the sum of its proper divisors (19612674).

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

11010006 is a wasteful number, since it uses less digits than its factorization.

11010006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11010006 is about 3318.1329087305. The cubic root of 11010006 is about 222.4654223926.

Adding to 11010006 its reverse (60001011), we get a palindrome (71011017).

The spelling of 11010006 in words is "eleven million, ten thousand, six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 73 81 98 114 126 133 146 147 162 171 189 219 266 294 342 378 399 438 441 511 513 567 657 798 882 931 1022 1026 1134 1197 1314 1323 1387 1533 1539 1862 1971 2394 2646 2774 2793 3066 3078 3577 3591 3942 3969 4161 4599 5586 5913 7154 7182 7938 8322 8379 9198 9709 10731 10773 11826 12483 13797 16758 19418 21462 21546 24966 25137 27594 29127 32193 37449 41391 50274 58254 64386 67963 74898 75411 82782 87381 96579 112347 135926 150822 174762 193158 203889 224694 262143 289737 407778 524286 579474 611667 786429 1223334 1572858 1835001 3670002 5505003 11010006