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1200428130 = 2351112728643
BaseRepresentation
bin100011110001101…
…0001010001100010
310002122211001211010
41013203101101202
54424302200010
6315041201350
741514320316
oct10743212142
93078731733
101200428130
11566679470
12296030256
13161914305
14b5601b46
15705c2620
hex478d1462

1200428130 has 64 divisors (see below), whose sum is σ = 3167797248. Its totient is φ = 288711360.

The previous prime is 1200428129. The next prime is 1200428137. The reversal of 1200428130 is 318240021.

It is a junction number, because it is equal to n+sod(n) for n = 1200428097 and 1200428106.

It is not an unprimeable number, because it can be changed into a prime (1200428137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27589 + ... + 56231.

It is an arithmetic number, because the mean of its divisors is an integer number (49496832).

Almost surely, 21200428130 is an apocalyptic number.

1200428130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200428130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583898624).

1200428130 is an abundant number, since it is smaller than the sum of its proper divisors (1967369118).

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

1200428130 is a wasteful number, since it uses less digits than its factorization.

1200428130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28791.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1200428130 is about 34647.1951245696. The cubic root of 1200428130 is about 1062.7849308266.

Adding to 1200428130 its reverse (318240021), we get a palindrome (1518668151).

The spelling of 1200428130 in words is "one billion, two hundred million, four hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 381 635 762 1270 1397 1905 2794 3810 4191 6985 8382 13970 20955 28643 41910 57286 85929 143215 171858 286430 315073 429645 630146 859290 945219 1575365 1890438 3150730 3637661 4726095 7275322 9452190 10912983 18188305 21825966 36376610 40014271 54564915 80028542 109129830 120042813 200071355 240085626 400142710 600214065 1200428130