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130531776 = 263838191
BaseRepresentation
bin1111100011111…
…00000111000000
3100002121200221020
413301330013000
5231404004101
620541425440
73143334054
oct761740700
9302550836
10130531776
1167755501
123786b280
132107384b
141349bc64
15b6d6136
hex7c7c1c0

130531776 has 56 divisors (see below), whose sum is σ = 349569024. Its totient is φ = 42981120.

The previous prime is 130531771. The next prime is 130531801. The reversal of 130531776 is 677135031.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130531771) 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 7 ways as a sum of consecutive naturals, for example, 11841 + ... + 20031.

It is an arithmetic number, because the mean of its divisors is an integer number (6242304).

Almost surely, 2130531776 is an apocalyptic number.

130531776 is a gapful number since it is divisible by the number (16) 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 130531776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174784512).

130531776 is an abundant number, since it is smaller than the sum of its proper divisors (219037248).

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

130531776 is an equidigital number, since it uses as much as digits as its factorization.

130531776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 130531776 is about 11425.0503718802. The cubic root of 130531776 is about 507.2694979187.

The spelling of 130531776 in words is "one hundred thirty million, five hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3984 5312 7968 8191 15936 16382 24573 32764 49146 65528 98292 131056 196584 262112 393168 524224 679853 786336 1359706 1572672 2039559 2719412 4079118 5438824 8158236 10877648 16316472 21755296 32632944 43510592 65265888 130531776