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10000998 = 23272172329
BaseRepresentation
bin100110001001…
…101001100110
3200211002210100
4212021221212
510030012443
6554204530
7151002300
oct46115146
920732710
1010000998
115710997
123423746
1320c2167
141484970
15d283d3
hex989a66

10000998 has 144 divisors (see below), whose sum is σ = 28810080. Its totient is φ = 2483712.

The previous prime is 10000993. The next prime is 10001009. The reversal of 10000998 is 89900001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344848 + ... + 344876.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 210000998 is an apocalyptic number.

10000998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405040).

10000998 is an abundant number, since it is smaller than the sum of its proper divisors (18809082).

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

10000998 is a wasteful number, since it uses less digits than its factorization.

10000998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10000998 is about 3162.4354538868. The cubic root of 10000998 is about 215.4506358508.

Adding to 10000998 its reverse (89900001), we get a palindrome (99900999).

The spelling of 10000998 in words is "ten million, nine hundred ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 17 18 21 23 29 34 42 46 49 51 58 63 69 87 98 102 119 126 138 147 153 161 174 203 207 238 261 294 306 322 357 391 406 414 441 483 493 522 609 667 714 782 833 882 966 986 1071 1127 1173 1218 1334 1421 1449 1479 1666 1827 2001 2142 2254 2346 2499 2737 2842 2898 2958 3381 3451 3519 3654 4002 4263 4437 4669 4998 5474 6003 6762 6902 7038 7497 8211 8526 8874 9338 10143 10353 11339 12006 12789 14007 14994 16422 19159 20286 20706 22678 24157 24633 25578 28014 31059 32683 34017 38318 42021 48314 49266 57477 62118 65366 68034 72471 79373 84042 98049 102051 114954 144942 158746 172431 196098 204102 217413 238119 294147 344862 434826 476238 555611 588294 714357 1111222 1428714 1666833 3333666 5000499 10000998