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130043760 = 243571131227
BaseRepresentation
bin1111100000001…
…00111101110000
3100001200220111120
413300010331300
5231242400020
620523142240
73136232220
oct760047560
9301626446
10130043760
1167451890
1237674980
1320c32692
14133b2080
15b63b740
hex7c04f70

130043760 has 320 divisors, whose sum is σ = 521109504. Its totient is φ = 26035200.

The previous prime is 130043747. The next prime is 130043777. The reversal of 130043760 is 67340031.

It is a super-2 number, since 2×1300437602 = 33822759029875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130043760.

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 63 ways as a sum of consecutive naturals, for example, 572767 + ... + 572993.

Almost surely, 2130043760 is an apocalyptic number.

130043760 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 130043760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260554752).

130043760 is an abundant number, since it is smaller than the sum of its proper divisors (391065744).

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

130043760 is a wasteful number, since it uses less digits than its factorization.

130043760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 130043760 is about 11403.6730924733. The cubic root of 130043760 is about 506.6365363738.

Adding to 130043760 its reverse (67340031), we get a palindrome (197383791).

The spelling of 130043760 in words is "one hundred thirty million, forty-three thousand, seven hundred sixty".