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130510128 = 243737927
BaseRepresentation
bin1111100011101…
…10110100110000
3100002120121020110
413301312310300
5231402311003
620541141320
73143214000
oct761666460
9302517213
10130510128
1167740211
123785a840
1321066a38
1413494000
15b6cea03
hex7c76d30

130510128 has 80 divisors (see below), whose sum is σ = 393228800. Its totient is φ = 37283904.

The previous prime is 130510103. The next prime is 130510129. The reversal of 130510128 is 821015031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130510129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12501 + ... + 20427.

It is an arithmetic number, because the mean of its divisors is an integer number (4915360).

Almost surely, 2130510128 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 130510128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196614400).

130510128 is an abundant number, since it is smaller than the sum of its proper divisors (262718672).

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

130510128 is an equidigital number, since it uses as much as digits as its factorization.

130510128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7939 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 130510128 is about 11424.1029407127. The cubic root of 130510128 is about 507.2414537199.

Adding to 130510128 its reverse (821015031), we get a palindrome (951525159).

The spelling of 130510128 in words is "one hundred thirty million, five hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 7927 8232 15854 16464 23781 31708 47562 55489 63416 95124 110978 126832 166467 190248 221956 332934 380496 388423 443912 665868 776846 887824 1165269 1331736 1553692 2330538 2663472 2718961 3107384 4661076 5437922 6214768 8156883 9322152 10875844 16313766 18644304 21751688 32627532 43503376 65255064 130510128