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130785616 = 24131274951
BaseRepresentation
bin1111100101110…
…10000101010000
3100010002121010201
413302322011100
5231440114431
620551104544
73145442113
oct762720520
9303077121
10130785616
1167909195
1237972154
1321132250
141352657a
15b736461
hex7cba150

130785616 has 40 divisors (see below), whose sum is σ = 275093504. Its totient is φ = 59875200.

The previous prime is 130785601. The next prime is 130785617. The reversal of 130785616 is 616587031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130785617) 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, 23941 + ... + 28891.

Almost surely, 2130785616 is an apocalyptic number.

130785616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130785616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137546752).

130785616 is an abundant number, since it is smaller than the sum of its proper divisors (144307888).

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

130785616 is a wasteful number, since it uses less digits than its factorization.

130785616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 130785616 is about 11436.1538989295. The cubic root of 130785616 is about 507.5981073324.

The spelling of 130785616 in words is "one hundred thirty million, seven hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 1016 1651 2032 3302 4951 6604 9902 13208 19804 26416 39608 64363 79216 128726 257452 514904 628777 1029808 1257554 2515108 5030216 8174101 10060432 16348202 32696404 65392808 130785616