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130675104 = 25327531223
BaseRepresentation
bin1111100100111…
…11000110100000
3100002212222112200
413302133012200
5231423100404
620544453200
73144501660
oct762370640
9302788480
10130675104
116784315a
123791a200
13210c3b61
14134d81a0
15b713839
hex7c9f1a0

130675104 has 144 divisors (see below), whose sum is σ = 433060992. Its totient is φ = 36601344.

The previous prime is 130675099. The next prime is 130675109. The reversal of 130675104 is 401576031.

It is an interprime number because it is at equal distance from previous prime (130675099) and next prime (130675109).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (130675109) 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, 106237 + ... + 107459.

It is an arithmetic number, because the mean of its divisors is an integer number (3007368).

Almost surely, 2130675104 is an apocalyptic number.

130675104 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 130675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216530496).

130675104 is an abundant number, since it is smaller than the sum of its proper divisors (302385888).

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

130675104 is a wasteful number, since it uses less digits than its factorization.

130675104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130675104 is about 11431.3211834853. The cubic root of 130675104 is about 507.4550959647.

The spelling of 130675104 in words is "one hundred thirty million, six hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1223 1272 1484 1696 1908 2016 2226 2446 2544 2968 3339 3669 3816 4452 4892 5088 5936 6678 7338 7632 8561 8904 9784 11007 11872 13356 14676 15264 17122 17808 19568 22014 25683 26712 29352 34244 35616 39136 44028 51366 53424 58704 64819 68488 77049 88056 102732 106848 117408 129638 136976 154098 176112 194457 205464 259276 273952 308196 352224 388914 410928 453733 518552 583371 616392 777828 821856 907466 1037104 1166742 1232784 1361199 1555656 1814932 2074208 2333484 2465568 2722398 3111312 3629864 4083597 4666968 5444796 6222624 7259728 8167194 9333936 10889592 14519456 16334388 18667872 21779184 32668776 43558368 65337552 130675104