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130741344 = 25333892
BaseRepresentation
bin1111100101011…
…11010001100000
3100010000100102000
413302233101200
5231432210334
620550124000
73145166046
oct762572140
9303010360
10130741344
11678889a8
1237950600
1321118056
1413514396
15b728299
hex7caf460

130741344 has 72 divisors (see below), whose sum is σ = 382311720. Its totient is φ = 43468416.

The previous prime is 130741343. The next prime is 130741363. The reversal of 130741344 is 443147031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130741343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335902 + ... + 336290.

It is an arithmetic number, because the mean of its divisors is an integer number (5309885).

Almost surely, 2130741344 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 130741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191155860).

130741344 is an abundant number, since it is smaller than the sum of its proper divisors (251570376).

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

130741344 is an frugal number, since it uses more digits than its factorization.

130741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 130741344 is about 11434.2181193119. The cubic root of 130741344 is about 507.5408254991.

Adding to 130741344 its reverse (443147031), we get a palindrome (573888375).

The spelling of 130741344 in words is "one hundred thirty million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 389 432 778 864 1167 1556 2334 3112 3501 4668 6224 7002 9336 10503 12448 14004 18672 21006 28008 37344 42012 56016 84024 112032 151321 168048 302642 336096 453963 605284 907926 1210568 1361889 1815852 2421136 2723778 3631704 4085667 4842272 5447556 7263408 8171334 10895112 14526816 16342668 21790224 32685336 43580448 65370672 130741344