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130224640 = 295713243
BaseRepresentation
bin1111100001100…
…01001000000000
3100002001002121211
413300301020000
5231314142030
620531055504
73140614450
oct760611000
9302032554
10130224640
1167565777
1237741594
1320c96b00
141341bd60
15b67512a
hex7c31200

130224640 has 240 divisors, whose sum is σ = 395385408. Its totient is φ = 40255488.

The previous prime is 130224581. The next prime is 130224649. The reversal of 130224640 is 46422031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130224649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028459 + ... + 3028501.

Almost surely, 2130224640 is an apocalyptic number.

130224640 is a gapful number since it is divisible by the number (10) 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 130224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197692704).

130224640 is an abundant number, since it is smaller than the sum of its proper divisors (265160768).

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

130224640 is an equidigital number, since it uses as much as digits as its factorization.

130224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 130224640 is about 11411.6011146552. The cubic root of 130224640 is about 506.8713239086.

Adding to 130224640 its reverse (46422031), we get a palindrome (176646671).

The spelling of 130224640 in words is "one hundred thirty million, two hundred twenty-four thousand, six hundred forty".