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130331736 = 233210916607
BaseRepresentation
bin1111100010010…
…11010001011000
3100002020112112100
413301023101120
5231331103421
620533243400
73141541623
oct761132130
9302215470
10130331736
1167629187
1237793560
1321003792
1413448dba
15b696c26
hex7c4b458

130331736 has 48 divisors (see below), whose sum is σ = 356241600. Its totient is φ = 43042752.

The previous prime is 130331711. The next prime is 130331737. The reversal of 130331736 is 637133031.

It is a super-2 number, since 2×1303317362 = 33972722817547392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331737) 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 11 ways as a sum of consecutive naturals, for example, 456 + ... + 16151.

It is an arithmetic number, because the mean of its divisors is an integer number (7421700).

Almost surely, 2130331736 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 130331736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178120800).

130331736 is an abundant number, since it is smaller than the sum of its proper divisors (225909864).

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

130331736 is a wasteful number, since it uses less digits than its factorization.

130331736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16728 (or 16721 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 130331736 is about 11416.2925680801. The cubic root of 130331736 is about 507.0102351960.

Adding to 130331736 its reverse (637133031), we get a palindrome (767464767).

The spelling of 130331736 in words is "one hundred thirty million, three hundred thirty-one thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 16607 33214 49821 66428 99642 132856 149463 199284 298926 398568 597852 1195704 1810163 3620326 5430489 7240652 10860978 14481304 16291467 21721956 32582934 43443912 65165868 130331736