Search a number
-
+
130506780 = 22354746279
BaseRepresentation
bin1111100011101…
…10000000011100
3100002120102122110
413301312000130
5231402204110
620541114020
73143201145
oct761660034
9302512573
10130506780
1167738748
1237858910
1321065361
1413492acc
15b6cda20
hex7c7601c

130506780 has 48 divisors (see below), whose sum is σ = 373201920. Its totient is φ = 34060608.

The previous prime is 130506769. The next prime is 130506781. The reversal of 130506780 is 87605031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130506781) 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 15 ways as a sum of consecutive naturals, for example, 20320 + ... + 25959.

It is an arithmetic number, because the mean of its divisors is an integer number (7775040).

Almost surely, 2130506780 is an apocalyptic number.

130506780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130506780 is an abundant number, since it is smaller than the sum of its proper divisors (242695140).

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

130506780 is a wasteful number, since it uses less digits than its factorization.

130506780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46338 (or 46336 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 130506780 is about 11423.9564074799. The cubic root of 130506780 is about 507.2371162305.

The spelling of 130506780 in words is "one hundred thirty million, five hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 46279 92558 138837 185116 231395 277674 462790 555348 694185 925580 1388370 2175113 2776740 4350226 6525339 8700452 10875565 13050678 21751130 26101356 32626695 43502260 65253390 130506780