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97058136 = 23377179103
BaseRepresentation
bin1011100100011…
…11110101011000
320202122001201210
411302033311120
5144321330021
613344143120
72255660220
oct562176530
9222561653
1097058136
114a87223a
1228607aa0
1317153766
14cc67080
1587c2e76
hex5c8fd58

97058136 has 128 divisors (see below), whose sum is σ = 287539200. Its totient is φ = 26732160.

The previous prime is 97058131. The next prime is 97058147. The reversal of 97058136 is 63185079.

It is a junction number, because it is equal to n+sod(n) for n = 97058094 and 97058103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97058131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942261 + ... + 942363.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 297058136 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 97058136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

97058136 is an abundant number, since it is smaller than the sum of its proper divisors (190481064).

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

97058136 is a wasteful number, since it uses less digits than its factorization.

97058136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 97058136 is about 9851.8087679370. The cubic root of 97058136 is about 459.5618638544.

The spelling of 97058136 in words is "ninety-seven million, fifty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 79 84 103 142 158 168 206 213 237 284 309 316 412 426 474 497 553 568 618 632 721 824 852 948 994 1106 1236 1442 1491 1659 1704 1896 1988 2163 2212 2472 2884 2982 3318 3976 4326 4424 5609 5768 5964 6636 7313 8137 8652 11218 11928 13272 14626 16274 16827 17304 21939 22436 24411 29252 32548 33654 39263 43878 44872 48822 51191 56959 58504 65096 67308 78526 87756 97644 102382 113918 117789 134616 153573 157052 170877 175512 195288 204764 227836 235578 307146 314104 341754 409528 455672 471156 577727 614292 683508 942312 1155454 1228584 1367016 1733181 2310908 3466362 4044089 4621816 6932724 8088178 12132267 13865448 16176356 24264534 32352712 48529068 97058136