Search a number
-
+
1200013144 = 231122934231
BaseRepresentation
bin100011110000110…
…1011111101011000
310002122000222120021
41013201223331120
54424200410034
6315024240224
741510641411
oct10741537530
93078028507
101200013144
11566415700
12295a70074
131617ca465
14b5534808
157053e6b4
hex4786bf58

1200013144 has 48 divisors (see below), whose sum is σ = 2482194960. Its totient is φ = 543470400.

The previous prime is 1200013079. The next prime is 1200013163. The reversal of 1200013144 is 4413100021.

It is a congruent number.

It is an unprimeable number.

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, 281509 + ... + 285739.

It is an arithmetic number, because the mean of its divisors is an integer number (51712395).

Almost surely, 21200013144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241097480).

1200013144 is an abundant number, since it is smaller than the sum of its proper divisors (1282181816).

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

1200013144 is a wasteful number, since it uses less digits than its factorization.

1200013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1200013144 is about 34641.2058681565. The cubic root of 1200013144 is about 1062.6624490530.

Adding to 1200013144 its reverse (4413100021), we get a palindrome (5613113165).

The spelling of 1200013144 in words is "one billion, two hundred million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 293 484 586 968 1172 2344 3223 4231 6446 8462 12892 16924 25784 33848 35453 46541 70906 93082 141812 186164 283624 372328 511951 1023902 1239683 2047804 2479366 4095608 4958732 9917464 13636513 27273026 54546052 109092104 150001643 300003286 600006572 1200013144