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130230320 = 24511831783
BaseRepresentation
bin1111100001100…
…10100000110000
3100002001101102012
413300302200300
5231314332240
620531142052
73140640143
oct760624060
9302041365
10130230320
1167569a70
1237744928
1320c9957c
141342005a
15b676b65
hex7c32830

130230320 has 80 divisors (see below), whose sum is σ = 334478592. Its totient is φ = 46759680.

The previous prime is 130230311. The next prime is 130230337. The reversal of 130230320 is 23032031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 130230295 and 130230304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72149 + ... + 73931.

Almost surely, 2130230320 is an apocalyptic number.

130230320 is a gapful number since it is divisible by the number (10) 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 130230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167239296).

130230320 is an abundant number, since it is smaller than the sum of its proper divisors (204248272).

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

130230320 is a wasteful number, since it uses less digits than its factorization.

130230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 130230320 is about 11411.8499814885. The cubic root of 130230320 is about 506.8786931931.

Adding to 130230320 its reverse (23032031), we get a palindrome (153262351).

The spelling of 130230320 in words is "one hundred thirty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1660 1783 1826 3320 3566 3652 4565 6640 7132 7304 8915 9130 14264 14608 17830 18260 19613 28528 35660 36520 39226 71320 73040 78452 98065 142640 147989 156904 196130 295978 313808 392260 591956 739945 784520 1183912 1479890 1569040 1627879 2367824 2959780 3255758 5919560 6511516 8139395 11839120 13023032 16278790 26046064 32557580 65115160 130230320