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130356000 = 2533531771
BaseRepresentation
bin1111100010100…
…01001100100000
3100002021202211000
413301101030200
5231332343000
620533552000
73142002435
oct761211440
9302252730
10130356000
1167645435
12377a5600
1321011838
1413453b8c
15b69e000
hex7c51320

130356000 has 384 divisors, whose sum is σ = 509483520. Its totient is φ = 32256000.

The previous prime is 130355999. The next prime is 130356013. The reversal of 130356000 is 653031.

130356000 is a `hidden beast` number, since 1 + 30 + 35 + 600 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835965 + ... + 1836035.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2130356000 is an apocalyptic number.

130356000 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 130356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

130356000 is an abundant number, since it is smaller than the sum of its proper divisors (379127520).

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

130356000 is a wasteful number, since it uses less digits than its factorization.

130356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130356000 is about 11417.3552103804. The cubic root of 130356000 is about 507.0416967913.

The spelling of 130356000 in words is "one hundred thirty million, three hundred fifty-six thousand".