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130242000 = 2435372443
BaseRepresentation
bin1111100001101…
…01010111010000
3100002001222102210
413300311113100
5231320221000
620531312120
73141016200
oct760652720
9302058383
10130242000
1167577819
123774b640
1320ca1995
1413424400
15b67a350
hex7c355d0

130242000 has 240 divisors, whose sum is σ = 489557952. Its totient is φ = 29702400.

The previous prime is 130241983. The next prime is 130242043. The reversal of 130242000 is 242031.

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 (12).

It is a congruent number.

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, 293779 + ... + 294221.

Almost surely, 2130242000 is an apocalyptic number.

130242000 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 130242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244778976).

130242000 is an abundant number, since it is smaller than the sum of its proper divisors (359315952).

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

130242000 is a wasteful number, since it uses less digits than its factorization.

130242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 130242000 is about 11412.3617187679. The cubic root of 130242000 is about 506.8938462597.

Adding to 130242000 its reverse (242031), we get a palindrome (130484031).

The spelling of 130242000 in words is "one hundred thirty million, two hundred forty-two thousand".