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99985347 = 34711172341
BaseRepresentation
bin1011111010110…
…10011111000011
320222010210010000
411331122133003
5201044012342
613531011043
72322601320
oct575323703
9228123100
1099985347
1151491520
1229599a83
1317939c37
14d3c9b47
158ba044c
hex5f5a7c3

99985347 has 160 divisors (see below), whose sum is σ = 210760704. Its totient is φ = 45619200.

The previous prime is 99985339. The next prime is 99985351. The reversal of 99985347 is 74358999.

It is not a de Polignac number, because 99985347 - 23 = 99985339 is a prime.

It is a super-2 number, since 2×999853472 = 19994139229420818, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99985293 and 99985302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99985337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2438647 + ... + 2438687.

Almost surely, 299985347 is an apocalyptic number.

99985347 is an abundant number, since it is smaller than the sum of its proper divisors (110775357).

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

99985347 is a wasteful number, since it uses less digits than its factorization.

99985347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 99985347 is about 9999.2673231592. The cubic root of 99985347 is about 464.1362111868.

The spelling of 99985347 in words is "ninety-nine million, nine hundred eighty-five thousand, three hundred forty-seven".

Divisors: 1 3 7 9 11 17 21 23 27 33 41 51 63 69 77 81 99 119 123 153 161 187 189 207 231 253 287 297 357 369 391 451 459 483 561 567 621 693 697 759 861 891 943 1071 1107 1173 1309 1353 1377 1449 1683 1771 1863 2079 2091 2277 2583 2737 2829 3157 3213 3321 3519 3927 4059 4301 4347 4879 5049 5313 6237 6273 6601 6831 7667 7749 8211 8487 9471 9639 10373 10557 11781 12177 12903 13041 14637 15147 15939 16031 18819 19803 20493 23001 23247 24633 25461 28413 30107 31119 31671 35343 36531 38709 43911 47817 48093 53669 56457 59409 69003 72611 73899 76383 85239 90321 93357 106029 112217 116127 131733 143451 144279 161007 176341 178227 207009 217833 221697 255717 270963 280071 336651 348381 395199 432837 483021 529023 534681 621027 653499 812889 840213 1009953 1234387 1298511 1449063 1587069 1960497 2438667 3029859 3703161 4347189 4761207 5881491 9089577 11109483 14283621 33328449 99985347