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130863432 = 23375871327
BaseRepresentation
bin1111100110011…
…01000101001000
3100010020112212210
413303031011020
5232000112212
620552505120
73146215020
oct763150510
9303215783
10130863432
11679616a7
12379ab1a0
132115b7ab
1413546a80
15b74e53c
hex7ccd148

130863432 has 64 divisors (see below), whose sum is σ = 374814720. Its totient is φ = 37297728.

The previous prime is 130863419. The next prime is 130863451. The reversal of 130863432 is 234368031.

It is a self number, because there is not a number n which added to its sum of digits gives 130863432.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97953 + ... + 99279.

It is an arithmetic number, because the mean of its divisors is an integer number (5856480).

Almost surely, 2130863432 is an apocalyptic number.

130863432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130863432 is an abundant number, since it is smaller than the sum of its proper divisors (243951288).

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

130863432 is a wasteful number, since it uses less digits than its factorization.

130863432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 130863432 is about 11439.5555857734. Note that the first 4 decimals coincide. The cubic root of 130863432 is about 507.6987591325.

The spelling of 130863432 in words is "one hundred thirty million, eight hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 587 1174 1327 1761 2348 2654 3522 3981 4109 4696 5308 7044 7962 8218 9289 10616 12327 14088 15924 16436 18578 24654 27867 31848 32872 37156 49308 55734 74312 98616 111468 222936 778949 1557898 2336847 3115796 4673694 5452643 6231592 9347388 10905286 16357929 18694776 21810572 32715858 43621144 65431716 130863432