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130055392 = 2543472011
BaseRepresentation
bin1111100000001…
…11110011100000
3100001201111110101
413300013303200
5231243233032
620523312144
73136311145
oct760076340
9301644411
10130055392
116745a5a5
123767b654
1320c37a6c
14133b63cc
15b63ede7
hex7c07ce0

130055392 has 48 divisors (see below), whose sum is σ = 267708672. Its totient is φ = 62133120.

The previous prime is 130055383. The next prime is 130055441. The reversal of 130055392 is 293550031.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130055392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63667 + ... + 65677.

It is an arithmetic number, because the mean of its divisors is an integer number (5577264).

Almost surely, 2130055392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130055392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133854336).

130055392 is an abundant number, since it is smaller than the sum of its proper divisors (137653280).

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

130055392 is a wasteful number, since it uses less digits than its factorization.

130055392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 130055392 is about 11404.1830921816. The cubic root of 130055392 is about 506.6516415981.

The spelling of 130055392 in words is "one hundred thirty million, fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 47 86 94 172 188 344 376 688 752 1376 1504 2011 2021 4022 4042 8044 8084 16088 16168 32176 32336 64352 64672 86473 94517 172946 189034 345892 378068 691784 756136 1383568 1512272 2767136 3024544 4064231 8128462 16256924 32513848 65027696 130055392