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130054288 = 2471326871
BaseRepresentation
bin1111100000001…
…11100010010000
3100001201102221111
413300013202100
5231243214123
620523303104
73136305010
oct760074220
9301642844
10130054288
1167459791
123767aa94
1320c37400
14133b5c40
15b63e90d
hex7c07890

130054288 has 60 divisors (see below), whose sum is σ = 311878848. Its totient is φ = 51442560.

The previous prime is 130054273. The next prime is 130054313. The reversal of 130054288 is 882450031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15493 + ... + 22363.

Almost surely, 2130054288 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 130054288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155939424).

130054288 is an abundant number, since it is smaller than the sum of its proper divisors (181824560).

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

130054288 is a wasteful number, since it uses less digits than its factorization.

130054288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 130054288 is about 11404.1346887872. The cubic root of 130054288 is about 506.6502079911.

The spelling of 130054288 in words is "one hundred thirty million, fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 6871 9464 13742 18928 27484 48097 54968 89323 96194 109936 178646 192388 357292 384776 625261 714584 769552 1161199 1250522 1429168 2322398 2501044 4644796 5002088 8128393 9289592 10004176 16256786 18579184 32513572 65027144 130054288