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104357253 = 371113193159
BaseRepresentation
bin1100011100001…
…01110110000101
321021100220020110
412032011312011
5203203413003
614204423233
72405010360
oct616056605
9237326213
10104357253
11539a8170
122ab47b19
131880ab70
14dc070d7
159265a03
hex6385d85

104357253 has 128 divisors (see below), whose sum is σ = 206438400. Its totient is φ = 45100800.

The previous prime is 104357219. The next prime is 104357269. The reversal of 104357253 is 352753401.

It is not a de Polignac number, because 104357253 - 26 = 104357189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104357253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104357293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1768738 + ... + 1768796.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 2104357253 is an apocalyptic number.

104357253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104357253 is a deficient number, since it is larger than the sum of its proper divisors (102081147).

104357253 is a wasteful number, since it uses less digits than its factorization.

104357253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 104357253 is about 10215.5397801585. The cubic root of 104357253 is about 470.8047973795.

The spelling of 104357253 in words is "one hundred four million, three hundred fifty-seven thousand, two hundred fifty-three".

Divisors: 1 3 7 11 13 19 21 31 33 39 57 59 77 91 93 133 143 177 209 217 231 247 273 341 399 403 413 429 589 627 649 651 741 767 1001 1023 1121 1209 1239 1463 1729 1767 1829 1947 2301 2387 2717 2821 3003 3363 4123 4389 4433 4543 5187 5369 5487 6479 7161 7657 7847 8151 8437 8463 12331 12369 12803 13299 13629 14573 16107 19019 19437 20119 22971 23541 23777 25311 31031 34751 36993 38409 43719 45353 53599 57057 59059 60357 71331 84227 86317 93093 102011 104253 136059 140833 160303 160797 166439 177177 243257 252681 258951 261547 306033 382261 422499 451763 480909 499317 589589 729771 784641 1122121 1146783 1355289 1768767 1830829 2675827 3162341 3366363 4969393 5492487 8027481 9487023 14908179 34785751 104357253