[go: up one dir, main page]

Search a number
-
+
1152620106 = 231125971379
BaseRepresentation
bin100010010110011…
…1001011001001010
32222022212011112120
41010230321121022
54330032320411
6310212352110
740364052321
oct10454713112
92868764476
101152620106
11541695600
12282015636
13154a45841
14ad1190b8
156b2cc106
hex44b3964a

1152620106 has 96 divisors (see below), whose sum is σ = 2619993600. Its totient is φ = 337629600.

The previous prime is 1152620099. The next prime is 1152620129. The reversal of 1152620106 is 6010262511.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3041025 + ... + 3041403.

It is an arithmetic number, because the mean of its divisors is an integer number (27291600).

Almost surely, 21152620106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152620106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309996800).

1152620106 is an abundant number, since it is smaller than the sum of its proper divisors (1467373494).

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

1152620106 is a wasteful number, since it uses less digits than its factorization.

1152620106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1152620106 is about 33950.2592920879. The cubic root of 1152620106 is about 1048.4846185578.

Adding to 1152620106 its reverse (6010262511), we get a palindrome (7162882617).

The spelling of 1152620106 in words is "one billion, one hundred fifty-two million, six hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 59 66 71 118 121 142 177 213 242 354 363 379 426 649 726 758 781 1137 1298 1562 1947 2274 2343 3894 4169 4189 4686 7139 8338 8378 8591 12507 12567 14278 17182 21417 22361 25014 25134 25773 26909 42834 44722 45859 46079 51546 53818 67083 80727 91718 92158 134166 137577 138237 161454 245971 275154 276474 295999 491942 506869 591998 737913 887997 1013738 1475826 1520607 1587631 1775994 2705681 3041214 3175262 3255989 4762893 5411362 6511978 8117043 9525786 9767967 16234086 17463941 19535934 34927882 52391823 104783646 192103351 384206702 576310053 1152620106