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130791024 = 24347131109
BaseRepresentation
bin1111100101110…
…11011001110000
3100010002212120000
413302323121300
5231440303044
620551150000
73145463640
oct762733160
9303085500
10130791024
1167912261
1237975300
1321134850
1413528520
15b737d69
hex7cbb670

130791024 has 200 divisors, whose sum is σ = 466324320. Its totient is φ = 34463232.

The previous prime is 130791019. The next prime is 130791029. The reversal of 130791024 is 420197031.

It is an interprime number because it is at equal distance from previous prime (130791019) and next prime (130791029).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130791029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117382 + ... + 118490.

Almost surely, 2130791024 is an apocalyptic number.

130791024 is a gapful number since it is divisible by the number (14) 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 130791024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233162160).

130791024 is an abundant number, since it is smaller than the sum of its proper divisors (335533296).

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

130791024 is a wasteful number, since it uses less digits than its factorization.

130791024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 130791024 is about 11436.3903396133. The cubic root of 130791024 is about 507.6051036490.

Adding to 130791024 its sum of digits (27), we get a triangular number (130791051 = T16173).

The spelling of 130791024 in words is "one hundred thirty million, seven hundred ninety-one thousand, twenty-four".