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130741104 = 24313271227
BaseRepresentation
bin1111100101011…
…11001101110000
3100010000100002010
413302233031300
5231432203404
620550122520
73145165254
oct762571560
9303010063
10130741104
11678887aa
1237950440
1321117c00
1413514264
15b728189
hex7caf370

130741104 has 120 divisors (see below), whose sum is σ = 372511872. Its totient is φ = 39486720.

The previous prime is 130741103. The next prime is 130741133. The reversal of 130741104 is 401147031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130741103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575839 + ... + 576065.

Almost surely, 2130741104 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 130741104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186255936).

130741104 is an abundant number, since it is smaller than the sum of its proper divisors (241770768).

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

130741104 is a wasteful number, since it uses less digits than its factorization.

130741104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 130741104 is about 11434.2076244924. The cubic root of 130741104 is about 507.5405149371.

Adding to 130741104 its reverse (401147031), we get a palindrome (531888135).

The spelling of 130741104 in words is "one hundred thirty million, seven hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 169 208 213 227 284 312 338 426 454 507 568 624 676 681 852 908 923 1014 1136 1352 1362 1704 1816 1846 2028 2704 2724 2769 2951 3408 3632 3692 4056 5448 5538 5902 7384 8112 8853 10896 11076 11804 11999 14768 16117 17706 22152 23608 23998 32234 35412 35997 38363 44304 47216 47996 48351 64468 70824 71994 76726 95992 96702 115089 128936 141648 143988 153452 191984 193404 209521 230178 257872 287976 306904 386808 419042 460356 575952 613808 628563 773616 838084 920712 1257126 1676168 1841424 2514252 2723773 3352336 5028504 5447546 8171319 10057008 10895092 16342638 21790184 32685276 43580368 65370552 130741104