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130732272 = 24331124161
BaseRepresentation
bin1111100101011…
…01000011110000
3100002222212222000
413302231003300
5231431413042
620550014000
73145130436
oct762550360
9302885860
10130732272
1167882100
1237947300
1321113b98
1413510d56
15b72574c
hex7cad0f0

130732272 has 240 divisors, whose sum is σ = 429451680. Its totient is φ = 38016000.

The previous prime is 130732267. The next prime is 130732289. The reversal of 130732272 is 272237031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2143122 + ... + 2143182.

It is an arithmetic number, because the mean of its divisors is an integer number (1789382).

Almost surely, 2130732272 is an apocalyptic number.

130732272 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 130732272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214725840).

130732272 is an abundant number, since it is smaller than the sum of its proper divisors (298719408).

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

130732272 is a wasteful number, since it uses less digits than its factorization.

130732272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 130732272 is about 11433.8214084356. The cubic root of 130732272 is about 507.5290859918.

The spelling of 130732272 in words is "one hundred thirty million, seven hundred thirty-two thousand, two hundred seventy-two".