[go: up one dir, main page]

Search a number
-
+
1201006200 = 233522001677
BaseRepresentation
bin100011110010101…
…1110011001111000
310002200220102210010
41013211132121320
54424424144300
6315101421520
741522245542
oct10745363170
93080812703
101201006200
11566a33809
1229626a8a0
13161a87474
14b5712692
1570688a50
hex4795e678

1201006200 has 48 divisors (see below), whose sum is σ = 3723121080. Its totient is φ = 320268160.

The previous prime is 1201006187. The next prime is 1201006201. The reversal of 1201006200 is 26001021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201006201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1000239 + ... + 1001438.

Almost surely, 21201006200 is an apocalyptic number.

1201006200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201006200 is an abundant number, since it is smaller than the sum of its proper divisors (2522114880).

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

1201006200 is a wasteful number, since it uses less digits than its factorization.

1201006200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001696 (or 2001687 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1201006200 is about 34655.5363542393. The cubic root of 1201006200 is about 1062.9554992762.

Adding to 1201006200 its reverse (26001021), we get a palindrome (1227007221).

The spelling of 1201006200 in words is "one billion, two hundred one million, six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2001677 4003354 6005031 8006708 10008385 12010062 16013416 20016770 24020124 30025155 40033540 48040248 50041925 60050310 80067080 100083850 120100620 150125775 200167700 240201240 300251550 400335400 600503100 1201006200