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130332352 = 2623372393
BaseRepresentation
bin1111100010010…
…11011011000000
3100002020120101011
413301023123000
5231331113402
620533250304
73141543463
oct761133300
9302216334
10130332352
1167629697
1237793994
1321003b47
14134492da
15b696ed7
hex7c4b6c0

130332352 has 56 divisors (see below), whose sum is σ = 277282656. Its totient is φ = 60622848.

The previous prime is 130332341. The next prime is 130332359. The reversal of 130332352 is 253233031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130332359) 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, 53268 + ... + 55660.

It is an arithmetic number, because the mean of its divisors is an integer number (4951476).

Almost surely, 2130332352 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 130332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138641328).

130332352 is an abundant number, since it is smaller than the sum of its proper divisors (146950304).

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

130332352 is a wasteful number, since it uses less digits than its factorization.

130332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 130332352 is about 11416.3195470344. The cubic root of 130332352 is about 507.0110339725.

Adding to 130332352 its reverse (253233031), we get a palindrome (383565383).

The spelling of 130332352 in words is "one hundred thirty million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 148 184 296 368 592 736 851 1184 1472 1702 2368 2393 3404 4786 6808 9572 13616 19144 27232 38288 54464 55039 76576 88541 110078 153152 177082 220156 354164 440312 708328 880624 1416656 1761248 2036443 2833312 3522496 4072886 5666624 8145772 16291544 32583088 65166176 130332352