Search a number
-
+
1200023032 = 231325316747
BaseRepresentation
bin100011110000110…
…1110010111111000
310002122001111010111
41013201232113320
54424201214112
6315024354104
741511012265
oct10741562770
93078044114
101200023032
1156642207a
12295a75934
13161801b00
14b553826c
15705425a7
hex4786e5f8

1200023032 has 48 divisors (see below), whose sum is σ = 2482556040. Its totient is φ = 543374208.

The previous prime is 1200023023. The next prime is 1200023039. The reversal of 1200023032 is 2303200021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200023039) 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, 63283 + ... + 80029.

Almost surely, 21200023032 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 1200023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241278020).

1200023032 is an abundant number, since it is smaller than the sum of its proper divisors (1282533008).

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

1200023032 is a wasteful number, since it uses less digits than its factorization.

1200023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16832 (or 16815 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1200023032 is about 34641.3485880674. The cubic root of 1200023032 is about 1062.6653677925.

Adding to 1200023032 its reverse (2303200021), we get a palindrome (3503223053).

The spelling of 1200023032 in words is "one billion, two hundred million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1352 1378 2756 5512 8957 16747 17914 33494 35828 66988 71656 133976 217711 435422 870844 887591 1741688 1775182 2830243 3550364 5660486 7100728 11320972 11538683 22641944 23077366 46154732 92309464 150002879 300005758 600011516 1200023032