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130263240 = 23351923197
BaseRepresentation
bin1111100001110…
…10100011001000
3100002010001120110
413300322203020
5231321410430
620531554320
73141135132
oct760724310
9302101513
10130263240
1167591778
123775b9a0
1320cab553
141342c052
15b6817b0
hex7c3a8c8

130263240 has 192 divisors, whose sum is σ = 430133760. Its totient is φ = 31518720.

The previous prime is 130263239. The next prime is 130263293. The reversal of 130263240 is 42362031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1342872 + ... + 1342968.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 2130263240 is an apocalyptic number.

130263240 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 130263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

130263240 is an abundant number, since it is smaller than the sum of its proper divisors (299870520).

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

130263240 is a wasteful number, since it uses less digits than its factorization.

130263240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 130263240 is about 11413.2922507049. The cubic root of 130263240 is about 506.9213996861.

The spelling of 130263240 in words is "one hundred thirty million, two hundred sixty-three thousand, two hundred forty".