Search a number
-
+
1201043968 = 2910921521
BaseRepresentation
bin100011110010110…
…0111101000000000
310002200222100120221
41013211213220000
54424431401333
6315102312424
741522463625
oct10745475000
93080870527
101201043968
11566a5a123
12296288714
13161a9b707
14b572234c
1570694d2d
hex47967a00

1201043968 has 40 divisors (see below), whose sum is σ = 2421870660. Its totient is φ = 594984960.

The previous prime is 1201043957. The next prime is 1201043983. The reversal of 1201043968 is 8693401021.

It can be written as a sum of positive squares in 2 ways, for example, as 1186664704 + 14379264 = 34448^2 + 3792^2 .

It is a super-2 number, since 2×12010439682 = 2885013226138370048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 45048 + ... + 66568.

Almost surely, 21201043968 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 1201043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210935330).

1201043968 is an abundant number, since it is smaller than the sum of its proper divisors (1220826692).

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

1201043968 is an equidigital number, since it uses as much as digits as its factorization.

1201043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21648 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1201043968 is about 34656.0812556757. The cubic root of 1201043968 is about 1062.9666414009.

Adding to 1201043968 its reverse (8693401021), we get a palindrome (9894444989).

The spelling of 1201043968 in words is "one billion, two hundred one million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 872 1744 3488 6976 13952 21521 27904 43042 55808 86084 172168 344336 688672 1377344 2345789 2754688 4691578 5509376 9383156 11018752 18766312 37532624 75065248 150130496 300260992 600521984 1201043968