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130132032 = 2634161271
BaseRepresentation
bin1111100000110…
…10100001000000
3100001212101120220
413300122201000
5231303211112
620525103040
73140050452
oct760324100
9301771526
10130132032
1167502138
12376b7a80
1320c63904
14133d62d2
15b65798c
hex7c1a840

130132032 has 112 divisors (see below), whose sum is σ = 359810304. Its totient is φ = 41472000.

The previous prime is 130132027. The next prime is 130132033. The reversal of 130132032 is 230231031.

It is not an unprimeable number, because it can be changed into a prime (130132033) 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, 480057 + ... + 480327.

It is an arithmetic number, because the mean of its divisors is an integer number (3212592).

Almost surely, 2130132032 is an apocalyptic number.

130132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179905152).

130132032 is an abundant number, since it is smaller than the sum of its proper divisors (229678272).

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

130132032 is a wasteful number, since it uses less digits than its factorization.

130132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130132032 is about 11407.5427678357. The cubic root of 130132032 is about 506.7511431936.

Adding to 130132032 its reverse (230231031), we get a palindrome (360363063).

It can be divided in two parts, 1301 and 32032, that added together give a palindrome (33333).

The spelling of 130132032 in words is "one hundred thirty million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 61 64 82 96 122 123 164 183 192 244 246 271 328 366 488 492 542 656 732 813 976 984 1084 1312 1464 1626 1952 1968 2168 2501 2624 2928 3252 3904 3936 4336 5002 5856 6504 7503 7872 8672 10004 11111 11712 13008 15006 16531 17344 20008 22222 26016 30012 33062 33333 40016 44444 49593 52032 60024 66124 66666 80032 88888 99186 120048 132248 133332 160064 177776 198372 240096 264496 266664 355552 396744 480192 528992 533328 677771 711104 793488 1057984 1066656 1355542 1586976 2033313 2133312 2711084 3173952 4066626 5422168 8133252 10844336 16266504 21688672 32533008 43377344 65066016 130132032