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130734000 = 243553269
BaseRepresentation
bin1111100101011…
…01011110110000
3100002222222100000
413302231132300
5231431442000
620550030000
73145135455
oct762553660
9302888300
10130734000
1167883431
1237948300
13211148c7
141351182c
15b726000
hex7cad7b0

130734000 has 240 divisors, whose sum is σ = 475282080. Its totient is φ = 34732800.

The previous prime is 130733989. The next prime is 130734013. The reversal of 130734000 is 437031.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485866 + ... + 486134.

It is an arithmetic number, because the mean of its divisors is an integer number (1980342).

Almost surely, 2130734000 is an apocalyptic number.

130734000 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 130734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).

130734000 is an abundant number, since it is smaller than the sum of its proper divisors (344548080).

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

130734000 is an equidigital number, since it uses as much as digits as its factorization.

130734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 130734000 is about 11433.8969734732. The cubic root of 130734000 is about 507.5313221303.

The spelling of 130734000 in words is "one hundred thirty million, seven hundred thirty-four thousand".