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130448032 = 25111329983
BaseRepresentation
bin1111100011001…
…11101010100000
3100002110110001121
413301213222200
5231343314112
620535542024
73142534651
oct761475240
9302413047
10130448032
11676a85a0
123782a914
13210446b0
1413479528
15b6bb407
hex7c67aa0

130448032 has 96 divisors (see below), whose sum is σ = 312439680. Its totient is φ = 52792320.

The previous prime is 130448023. The next prime is 130448033. The reversal of 130448032 is 230844031.

It is a junction number, because it is equal to n+sod(n) for n = 130447988 and 130448006.

It is not an unprimeable number, because it can be changed into a prime (130448033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132213 + ... + 133195.

It is an arithmetic number, because the mean of its divisors is an integer number (3254580).

Almost surely, 2130448032 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 130448032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156219840).

130448032 is an abundant number, since it is smaller than the sum of its proper divisors (181991648).

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

130448032 is a wasteful number, since it uses less digits than its factorization.

130448032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 130448032 is about 11421.3848547363. The cubic root of 130448032 is about 507.1609933945.

The spelling of 130448032 in words is "one hundred thirty million, four hundred forty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 88 104 116 143 176 208 232 286 319 352 377 416 464 572 638 754 928 983 1144 1276 1508 1966 2288 2552 3016 3932 4147 4576 5104 6032 7864 8294 10208 10813 12064 12779 15728 16588 21626 25558 28507 31456 33176 43252 51116 57014 66352 86504 102232 114028 132704 140569 173008 204464 228056 281138 313577 346016 370591 408928 456112 562276 627154 741182 912224 1124552 1254308 1482364 2249104 2508616 2964728 4076501 4498208 5017232 5929456 8153002 10034464 11858912 16306004 32612008 65224016 130448032