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1200434420 = 225115352057
BaseRepresentation
bin100011110001101…
…0010110011110100
310002122211101110002
41013203102303310
54424302400140
6315041250432
741514344543
oct10743226364
93078741402
101200434420
11566683169
12296033a18
13161917133
14b560415a
15705c4415
hex478d2cf4

1200434420 has 24 divisors (see below), whose sum is σ = 2523147144. Its totient is φ = 479748096.

The previous prime is 1200434399. The next prime is 1200434429. The reversal of 1200434420 is 244340021.

1200434420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 366033424 + 834400996 = 19132^2 + 28886^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1200434392 and 1200434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200434429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2969 + ... + 49088.

It is an arithmetic number, because the mean of its divisors is an integer number (105131131).

Almost surely, 21200434420 is an apocalyptic number.

1200434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200434420 is an abundant number, since it is smaller than the sum of its proper divisors (1322712724).

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

1200434420 is a wasteful number, since it uses less digits than its factorization.

1200434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53219 (or 53217 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1200434420 is about 34647.2858965894. The cubic root of 1200434420 is about 1062.7867870825.

Adding to 1200434420 its reverse (244340021), we get a palindrome (1444774441).

The spelling of 1200434420 in words is "one billion, two hundred million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1153 2306 4612 5765 11530 23060 52057 104114 208228 260285 520570 1041140 60021721 120043442 240086884 300108605 600217210 1200434420