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130358844 = 2232711313741
BaseRepresentation
bin1111100010100…
…01111000111100
3100002021220201100
413301101320330
5231332440334
620534013100
73142013640
oct761217074
9302256640
10130358844
1167647590
12377a7190
1321012c15
1413454c20
15b69ec99
hex7c51e3c

130358844 has 288 divisors, whose sum is σ = 446164992. Its totient is φ = 31104000.

The previous prime is 130358821. The next prime is 130358863. The reversal of 130358844 is 448853031.

130358844 is a `hidden beast` number, since 1 + 30 + 3 + 588 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130358799 and 130358808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3179464 + ... + 3179504.

It is an arithmetic number, because the mean of its divisors is an integer number (1549184).

Almost surely, 2130358844 is an apocalyptic number.

130358844 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 130358844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223082496).

130358844 is an abundant number, since it is smaller than the sum of its proper divisors (315806148).

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

130358844 is a wasteful number, since it uses less digits than its factorization.

130358844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 130358844 is about 11417.4797569341. The cubic root of 130358844 is about 507.0453841707.

The spelling of 130358844 in words is "one hundred thirty million, three hundred fifty-eight thousand, eight hundred forty-four".