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130722384 = 243131712323
BaseRepresentation
bin1111100101010…
…10101001010000
3100002222101101210
413302222221100
5231431104014
620545500120
73145056552
oct762525120
9302871353
10130722384
1167875731
1237941640
132110c530
141350b4d2
15b722859
hex7caaa50

130722384 has 80 divisors (see below), whose sum is σ = 385100352. Its totient is φ = 37853184.

The previous prime is 130722379. The next prime is 130722419. The reversal of 130722384 is 483227031.

It is a congruent number.

It is an unprimeable number.

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, 4447 + ... + 16769.

Almost surely, 2130722384 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 130722384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192550176).

130722384 is an abundant number, since it is smaller than the sum of its proper divisors (254377968).

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

130722384 is a wasteful number, since it uses less digits than its factorization.

130722384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12364 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 130722384 is about 11433.3889988927. The cubic root of 130722384 is about 507.5162899315.

The spelling of 130722384 in words is "one hundred thirty million, seven hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 12323 24646 36969 49292 73938 98584 147876 160199 197168 209491 295752 320398 418982 480597 591504 628473 640796 837964 961194 1256946 1281592 1675928 1922388 2513892 2563184 2723383 3351856 3844776 5027784 5446766 7689552 8170149 10055568 10893532 16340298 21787064 32680596 43574128 65361192 130722384