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130444272 = 24327319139
BaseRepresentation
bin1111100011001…
…10101111110000
3100002110020220100
413301212233300
5231343204042
620535512400
73142521000
oct761465760
9302406810
10130444272
11676a5792
1237828700
1321042a7a
1413478000
15b6ba24c
hex7c66bf0

130444272 has 240 divisors, whose sum is σ = 451360000. Its totient is φ = 35054208.

The previous prime is 130444271. The next prime is 130444283. The reversal of 130444272 is 272444031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130444271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938379 + ... + 938517.

Almost surely, 2130444272 is an apocalyptic number.

130444272 is a gapful number since it is divisible by the number (12) 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 130444272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225680000).

130444272 is an abundant number, since it is smaller than the sum of its proper divisors (320915728).

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

130444272 is a wasteful number, since it uses less digits than its factorization.

130444272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 130444272 is about 11421.2202500433. The cubic root of 130444272 is about 507.1561205891.

The spelling of 130444272 in words is "one hundred thirty million, four hundred forty-four thousand, two hundred seventy-two".