Search a number
-
+
1200141024 = 25373171253
BaseRepresentation
bin100011110001000…
…1011001011100000
310002122021110222120
41013202023023200
54424214003044
6315031104240
741512013265
oct10742131340
93078243876
101200141024
115664a2795
12295b12080
13161843724
14b556926c
1570567519
hex4788b2e0

1200141024 has 48 divisors (see below), whose sum is σ = 3193544592. Its totient is φ = 394564608.

The previous prime is 1200141011. The next prime is 1200141029. The reversal of 1200141024 is 4201410021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1200140994 and 1200141012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200141029) 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 7 ways as a sum of consecutive naturals, for example, 78619 + ... + 92634.

It is an arithmetic number, because the mean of its divisors is an integer number (66532179).

Almost surely, 21200141024 is an apocalyptic number.

It is an amenable number.

1200141024 is an abundant number, since it is smaller than the sum of its proper divisors (1993403568).

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

1200141024 is a wasteful number, since it uses less digits than its factorization.

1200141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171339 (or 171331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1200141024 is about 34643.0515976869. The cubic root of 1200141024 is about 1062.7001954304.

Adding to 1200141024 its reverse (4201410021), we get a palindrome (5401551045).

The spelling of 1200141024 in words is "one billion, two hundred million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 171253 342506 513759 685012 1027518 1370024 2055036 2740048 4110072 5480096 8220144 12501469 16440288 25002938 37504407 50005876 75008814 100011752 150017628 200023504 300035256 400047008 600070512 1200141024