Search a number
-
+
130332048 = 243711179197
BaseRepresentation
bin1111100010010…
…11010110010000
3100002020112221220
413301023112100
5231331111143
620533245040
73141542550
oct761132620
9302215856
10130332048
1167629440
1237793780
1321003972
1413449160
15b696d83
hex7c4b590

130332048 has 160 divisors (see below), whose sum is σ = 424258560. Its totient is φ = 33492480.

The previous prime is 130332043. The next prime is 130332089. The reversal of 130332048 is 840233031.

It is a super-3 number, since 3×1303320483 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130332043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 661486 + ... + 661682.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2130332048 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 130332048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

130332048 is an abundant number, since it is smaller than the sum of its proper divisors (293926512).

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

130332048 is a wasteful number, since it uses less digits than its factorization.

130332048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 130332048 is about 11416.3062327532. The cubic root of 130332048 is about 507.0106397714.

Adding to 130332048 its reverse (840233031), we get a palindrome (970565079).

The spelling of 130332048 in words is "one hundred thirty million, three hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 179 197 231 264 308 336 358 394 462 528 537 591 616 716 788 924 1074 1182 1232 1253 1379 1432 1576 1848 1969 2148 2167 2364 2506 2758 2864 3152 3696 3759 3938 4137 4296 4334 4728 5012 5516 5907 6501 7518 7876 8274 8592 8668 9456 10024 11032 11814 13002 13783 15036 15169 15752 16548 17336 20048 22064 23628 26004 27566 30072 30338 31504 33096 34672 35263 41349 45507 47256 52008 55132 60144 60676 66192 70526 82698 91014 94512 104016 105789 110264 121352 141052 165396 182028 211578 220528 242704 246841 282104 330792 364056 387893 423156 493682 564208 661584 728112 740523 775786 846312 987364 1163679 1481046 1551572 1692624 1974728 2327358 2715251 2962092 3103144 3949456 4654716 5430502 5924184 6206288 8145753 9309432 10861004 11848368 16291506 18618864 21722008 32583012 43444016 65166024 130332048