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130383540 = 223357172029
BaseRepresentation
bin1111100010101…
…11111010110100
3100002100011121000
413301113322310
5231334233130
620534323300
73142145640
oct761277264
9302304530
10130383540
11676640a1
12377b9530
1321021231
141345dc20
15b6a7260
hex7c57eb4

130383540 has 192 divisors, whose sum is σ = 491097600. Its totient is φ = 28035072.

The previous prime is 130383509. The next prime is 130383559. The reversal of 130383540 is 45383031.

It is a happy number.

130383540 is a `hidden beast` number, since 1 + 303 + 8 + 354 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63246 + ... + 65274.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 2130383540 is an apocalyptic number.

130383540 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 130383540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245548800).

130383540 is an abundant number, since it is smaller than the sum of its proper divisors (360714060).

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

130383540 is a wasteful number, since it uses less digits than its factorization.

130383540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130383540 is about 11418.5612053358. The cubic root of 130383540 is about 507.0774014387.

The spelling of 130383540 in words is "one hundred thirty million, three hundred eighty-three thousand, five hundred forty".