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130002840 = 233351131353
BaseRepresentation
bin1111011111110…
…10111110011000
3100001121211101000
413233322332120
5231240042330
620522225000
73136002012
oct757727630
9301554330
10130002840
1167424070
1237655160
1320c19b76
14133a11b2
15b62e560
hex7bfaf98

130002840 has 256 divisors, whose sum is σ = 489369600. Its totient is φ = 30412800.

The previous prime is 130002833. The next prime is 130002863. The reversal of 130002840 is 48200031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368104 + ... + 368456.

It is an arithmetic number, because the mean of its divisors is an integer number (1911600).

Almost surely, 2130002840 is an apocalyptic number.

130002840 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 130002840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244684800).

130002840 is an abundant number, since it is smaller than the sum of its proper divisors (359366760).

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

130002840 is a wasteful number, since it uses less digits than its factorization.

130002840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 130002840 is about 11401.8787925499. The cubic root of 130002840 is about 506.5833908226.

Adding to 130002840 its reverse (48200031), we get a palindrome (178202871).

The spelling of 130002840 in words is "one hundred thirty million, two thousand, eight hundred forty".