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130678272 = 293423137
BaseRepresentation
bin1111100100111…
…11111000000000
3100002220010220000
413302133320000
5231423201042
620544520000
73144514134
oct762377000
9302803800
10130678272
116784557a
1237920000
13210c542a
14134d93c4
15b71474c
hex7c9fe00

130678272 has 200 divisors, whose sum is σ = 409969296. Its totient is φ = 41361408.

The previous prime is 130678267. The next prime is 130678277. The reversal of 130678272 is 272876031.

It is an interprime number because it is at equal distance from previous prime (130678267) and next prime (130678277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130678277) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 953788 + ... + 953924.

Almost surely, 2130678272 is an apocalyptic number.

130678272 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 130678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204984648).

130678272 is an abundant number, since it is smaller than the sum of its proper divisors (279291024).

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

130678272 is an equidigital number, since it uses as much as digits as its factorization.

130678272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 130678272 is about 11431.4597493059. The cubic root of 130678272 is about 507.4591967324.

The spelling of 130678272 in words is "one hundred thirty million, six hundred seventy-eight thousand, two hundred seventy-two".