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131302304 = 257976043
BaseRepresentation
bin1111101001110…
…00001110100000
3100011001211220022
413310320032200
5232103133204
621010133012
73153023360
oct764701640
9304054808
10131302304
1168131401
1237b81168
1321283493
141361c9a0
15b7d95be
hex7d383a0

131302304 has 48 divisors (see below), whose sum is σ = 298525248. Its totient is φ = 55683072.

The previous prime is 131302289. The next prime is 131302313. The reversal of 131302304 is 403203131.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 18707 + ... + 24749.

It is an arithmetic number, because the mean of its divisors is an integer number (6219276).

Almost surely, 2131302304 is an apocalyptic number.

131302304 is a gapful number since it is divisible by the number (14) 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 131302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149262624).

131302304 is an abundant number, since it is smaller than the sum of its proper divisors (167222944).

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

131302304 is an equidigital number, since it uses as much as digits as its factorization.

131302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 131302304 is about 11458.7217437199. The cubic root of 131302304 is about 508.2656762295.

Adding to 131302304 its reverse (403203131), we get a palindrome (534505435).

The spelling of 131302304 in words is "one hundred thirty-one million, three hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2716 3104 5432 6043 10864 12086 21728 24172 42301 48344 84602 96688 169204 193376 338408 586171 676816 1172342 1353632 2344684 4103197 4689368 8206394 9378736 16412788 18757472 32825576 65651152 131302304