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130545360 = 243251153311
BaseRepresentation
bin1111100011111…
…11011011010000
3100002122101120100
413301333123100
5231404422420
620542012400
73143421501
oct761773320
9302571510
10130545360
1167764730
1237877100
1321079a9a
14134a2ba8
15b6da190
hex7c7f6d0

130545360 has 240 divisors, whose sum is σ = 488861568. Its totient is φ = 30950400.

The previous prime is 130545319. The next prime is 130545427. The reversal of 130545360 is 63545031.

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

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 47 ways as a sum of consecutive naturals, for example, 419605 + ... + 419915.

Almost surely, 2130545360 is an apocalyptic number.

130545360 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 130545360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244430784).

130545360 is an abundant number, since it is smaller than the sum of its proper divisors (358316208).

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

130545360 is a wasteful number, since it uses less digits than its factorization.

130545360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 130545360 is about 11425.6448395703. The cubic root of 130545360 is about 507.2870939148.

It can be divided in two parts, 1305 and 45360, that added together give a triangular number (46665 = T305).

The spelling of 130545360 in words is "one hundred thirty million, five hundred forty-five thousand, three hundred sixty".