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130729648 = 24744183
BaseRepresentation
bin1111100101011…
…00011010110000
3100002222202100211
413302230122300
5231431322043
620545553504
73145120000
oct762543260
9302882324
10130729648
1167880135
1237945894
132111292a
1413510000
15b724a9d
hex7cac6b0

130729648 has 100 divisors (see below), whose sum is σ = 306339768. Its totient is φ = 54001920.

The previous prime is 130729637. The next prime is 130729657. The reversal of 130729648 is 846927031.

It is a self number, because there is not a number n which added to its sum of digits gives 130729648.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575015 + ... + 1575097.

Almost surely, 2130729648 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 130729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153169884).

130729648 is an abundant number, since it is smaller than the sum of its proper divisors (175610120).

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

130729648 is an frugal number, since it uses more digits than its factorization.

130729648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 130729648 is about 11433.7066605716. The cubic root of 130729648 is about 507.5256903364.

The spelling of 130729648 in words is "one hundred thirty million, seven hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 83 98 112 164 166 196 287 328 332 343 392 574 581 656 664 686 784 1148 1162 1328 1372 2009 2296 2324 2401 2744 3403 4018 4067 4592 4648 4802 5488 6806 8036 8134 9296 9604 13612 14063 16072 16268 19208 23821 27224 28126 28469 32144 32536 38416 47642 54448 56252 56938 65072 95284 98441 112504 113876 166747 190568 196882 199283 225008 227752 333494 381136 393764 398566 455504 666988 787528 797132 1167229 1333976 1575056 1594264 2334458 2667952 3188528 4668916 8170603 9337832 16341206 18675664 32682412 65364824 130729648