Search a number
-
+
1160630624 = 25412293863
BaseRepresentation
bin100010100101101…
…1101000101100000
32222212221010220102
41011023131011200
54334110134444
6311100201532
740522124516
oct10513350540
92885833812
101160630624
11546166a6a
122848392a8
131565bb9aa
14b02024b6
156bd6084e
hex452dd160

1160630624 has 48 divisors (see below), whose sum is σ = 2351553120. Its totient is φ = 563543040.

The previous prime is 1160630621. The next prime is 1160630659. The reversal of 1160630624 is 4260360611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160630621) 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, 298517 + ... + 302379.

It is an arithmetic number, because the mean of its divisors is an integer number (48990690).

Almost surely, 21160630624 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 1160630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175776560).

1160630624 is an abundant number, since it is smaller than the sum of its proper divisors (1190922496).

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

1160630624 is a wasteful number, since it uses less digits than its factorization.

1160630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1160630624 is about 34068.0293530459. The cubic root of 1160630624 is about 1050.9079445222.

The spelling of 1160630624 in words is "one billion, one hundred sixty million, six hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 229 328 458 656 916 1312 1832 3664 3863 7328 7726 9389 15452 18778 30904 37556 61808 75112 123616 150224 158383 300448 316766 633532 884627 1267064 1769254 2534128 3538508 5068256 7077016 14154032 28308064 36269707 72539414 145078828 290157656 580315312 1160630624