Search a number
-
+
1200023020 = 225731276503
BaseRepresentation
bin100011110000110…
…1110010111101100
310002122001111010001
41013201232113230
54424201214040
6315024354044
741511012250
oct10741562754
93078044101
101200023020
11566422069
12295a75924
13161801ac1
14b5538260
157054259a
hex4786e5ec

1200023020 has 48 divisors (see below), whose sum is σ = 2972971008. Its totient is φ = 398162880.

The previous prime is 1200023017. The next prime is 1200023021. The reversal of 1200023020 is 203200021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1200022988 and 1200023006.

It is not an unprimeable number, because it can be changed into a prime (1200023021) 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 15 ways as a sum of consecutive naturals, for example, 133912 + ... + 142591.

It is an arithmetic number, because the mean of its divisors is an integer number (61936896).

Almost surely, 21200023020 is an apocalyptic number.

1200023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200023020 is an abundant number, since it is smaller than the sum of its proper divisors (1772947988).

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

1200023020 is a wasteful number, since it uses less digits than its factorization.

1200023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276550 (or 276548 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1200023020 is about 34641.3484148640. The cubic root of 1200023020 is about 1062.6653642503.

Adding to 1200023020 its reverse (203200021), we get a palindrome (1403223041).

The spelling of 1200023020 in words is "one billion, two hundred million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 276503 553006 1106012 1382515 1935521 2765030 3871042 5530060 7742084 8571593 9677605 17143186 19355210 34286372 38710420 42857965 60001151 85715930 120002302 171431860 240004604 300005755 600011510 1200023020