Search a number
-
+
1200441420 = 223256669119
BaseRepresentation
bin100011110001101…
…0100100001001100
310002122211202001100
41013203110201030
54424303111140
6315041343100
741514404133
oct10743244114
93078752040
101200441420
11566688452
12296037a90
1316191a389
14b560691a
15705c6530
hex478d484c

1200441420 has 36 divisors (see below), whose sum is σ = 3641339520. Its totient is φ = 320117664.

The previous prime is 1200441409. The next prime is 1200441421. The reversal of 1200441420 is 241440021.

1200441420 is a `hidden beast` number, since 1 + 200 + 4 + 41 + 420 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1200441393 and 1200441402.

It is not an unprimeable number, because it can be changed into a prime (1200441421) 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 11 ways as a sum of consecutive naturals, for example, 3334380 + ... + 3334739.

It is an arithmetic number, because the mean of its divisors is an integer number (101148320).

Almost surely, 21200441420 is an apocalyptic number.

1200441420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200441420 is an abundant number, since it is smaller than the sum of its proper divisors (2440898100).

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

1200441420 is a wasteful number, since it uses less digits than its factorization.

1200441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669134 (or 6669129 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1200441420 is about 34647.3869144558. The cubic root of 1200441420 is about 1062.7888528605.

Adding to 1200441420 its reverse (241440021), we get a palindrome (1441881441).

The spelling of 1200441420 in words is "one billion, two hundred million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6669119 13338238 20007357 26676476 33345595 40014714 60022071 66691190 80029428 100036785 120044142 133382380 200073570 240088284 300110355 400147140 600220710 1200441420