Search a number
-
+
130818944 = 271779761
BaseRepresentation
bin1111100110000…
…10001110000000
3100010011021212002
413303002032000
5231442201234
620551523132
73145641224
oct763021600
9303137762
10130818944
1167931233
12379894a8
1321144479
1413534784
15b74127e
hex7cc2380

130818944 has 64 divisors (see below), whose sum is σ = 279806400. Its totient is φ = 60702720.

The previous prime is 130818931. The next prime is 130818973. The reversal of 130818944 is 449818031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1308189442 = 34227192218550272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130818898 and 130818907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171524 + ... + 172284.

It is an arithmetic number, because the mean of its divisors is an integer number (4371975).

Almost surely, 2130818944 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 130818944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139903200).

130818944 is an abundant number, since it is smaller than the sum of its proper divisors (148987456).

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

130818944 is an equidigital number, since it uses as much as digits as its factorization.

130818944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 130818944 is about 11437.6109393527. The cubic root of 130818944 is about 507.6412206182.

The spelling of 130818944 in words is "one hundred thirty million, eight hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 272 316 544 632 761 1088 1264 1343 1522 2176 2528 2686 3044 5056 5372 6088 10112 10744 12176 12937 21488 24352 25874 42976 48704 51748 60119 85952 97408 103496 120238 171904 206992 240476 413984 480952 827968 961904 1022023 1655936 1923808 2044046 3847616 4088092 7695232 8176184 16352368 32704736 65409472 130818944