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130041072 = 2433743003
BaseRepresentation
bin1111100000001…
…00010011110000
3100001200202211000
413300010103300
5231242303242
620523122000
73136221330
oct760042360
9301622730
10130041072
116744a867
1237673300
1320c313a5
14133b10c0
15b63aa4c
hex7c044f0

130041072 has 80 divisors (see below), whose sum is σ = 426599680. Its totient is φ = 37153728.

The previous prime is 130041029. The next prime is 130041077. The reversal of 130041072 is 270140031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130041077) by changing a digit.

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, 18478 + ... + 24525.

It is an arithmetic number, because the mean of its divisors is an integer number (5332496).

Almost surely, 2130041072 is an apocalyptic number.

130041072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130041072 is an abundant number, since it is smaller than the sum of its proper divisors (296558608).

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

130041072 is a wasteful number, since it uses less digits than its factorization.

130041072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43027 (or 43015 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 130041072 is about 11403.5552351010. Note that the first 3 decimals coincide. The cubic root of 130041072 is about 506.6330456299.

The spelling of 130041072 in words is "one hundred thirty million, forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 43003 86006 129009 172012 258018 301021 344024 387027 516036 602042 688048 774054 903063 1032072 1161081 1204084 1548108 1806126 2064144 2322162 2408168 2709189 3096216 3612252 4644324 4816336 5418378 6192432 7224504 8127567 9288648 10836756 14449008 16255134 18577296 21673512 32510268 43347024 65020536 130041072