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130176144 = 24327219971
BaseRepresentation
bin1111100001001…
…01010010010000
3100001221122002200
413300211102100
5231311114034
620530043200
73140323200
oct760452220
9301848080
10130176144
116753229a
1237719500
1320c7aa07
1413408400
15b665a99
hex7c25490

130176144 has 180 divisors, whose sum is σ = 446556240. Its totient is φ = 35199360.

The previous prime is 130176133. The next prime is 130176149. The reversal of 130176144 is 441671031.

It is a happy number.

130176144 is a `hidden beast` number, since 1 + 30 + 17 + 614 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (130176149) 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 35 ways as a sum of consecutive naturals, for example, 133579 + ... + 134549.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868).

Almost surely, 2130176144 is an apocalyptic number.

130176144 is a gapful number since it is divisible by the number (14) 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 130176144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223278120).

130176144 is an abundant number, since it is smaller than the sum of its proper divisors (316380096).

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

130176144 is a wasteful number, since it uses less digits than its factorization.

130176144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130176144 is about 11409.4760615902. The cubic root of 130176144 is about 506.8083960230.

The spelling of 130176144 in words is "one hundred thirty million, one hundred seventy-six thousand, one hundred forty-four".