Search a number
-
+
1205336136 = 2331925110531
BaseRepresentation
bin100011111010111…
…1111100001001000
310010000001102100010
41013311333201020
54432031224021
6315334311520
741604121344
oct10765774110
93100042303
101205336136
11569420974
122977b85a0
13162942264
14b611c624
1570c41976
hex47d7f848

1205336136 has 64 divisors (see below), whose sum is σ = 3184876800. Its totient is φ = 379080000.

The previous prime is 1205336089. The next prime is 1205336189. The reversal of 1205336136 is 6316335021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109191 + ... + 119721.

It is an arithmetic number, because the mean of its divisors is an integer number (49763700).

Almost surely, 21205336136 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 1205336136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592438400).

1205336136 is an abundant number, since it is smaller than the sum of its proper divisors (1979540664).

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

1205336136 is a wasteful number, since it uses less digits than its factorization.

1205336136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 1205336136 is about 34717.9512068325. The cubic root of 1205336136 is about 1064.2313764627.

The spelling of 1205336136 in words is "one billion, two hundred five million, three hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 251 456 502 753 1004 1506 2008 3012 4769 6024 9538 10531 14307 19076 21062 28614 31593 38152 42124 57228 63186 84248 114456 126372 200089 252744 400178 600267 800356 1200534 1600712 2401068 2643281 4802136 5286562 7929843 10573124 15859686 21146248 31719372 50222339 63438744 100444678 150667017 200889356 301334034 401778712 602668068 1205336136