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10968111 = 3273111719
BaseRepresentation
bin101001110101…
…110000101111
3202122020102100
4221311300233
510301434421
61031030143
7162141000
oct51656057
922566370
1010968111
116211560
12380b353
13237040b
1416571a7
15e69c26
hexa75c2f

10968111 has 96 divisors (see below), whose sum is σ = 22464000. Its totient is φ = 5080320.

The previous prime is 10968103. The next prime is 10968127. The reversal of 10968111 is 11186901.

It is not a de Polignac number, because 10968111 - 23 = 10968103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10968131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577260 + ... + 577278.

It is an arithmetic number, because the mean of its divisors is an integer number (234000).

Almost surely, 210968111 is an apocalyptic number.

10968111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10968111 is an abundant number, since it is smaller than the sum of its proper divisors (11495889).

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

10968111 is a wasteful number, since it uses less digits than its factorization.

10968111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 10968111 is about 3311.8138534646. The cubic root of 10968111 is about 222.1828904371.

The spelling of 10968111 in words is "ten million, nine hundred sixty-eight thousand, one hundred eleven".

Divisors: 1 3 7 9 11 17 19 21 33 49 51 57 63 77 99 119 133 147 153 171 187 209 231 323 343 357 399 441 539 561 627 693 833 931 969 1029 1071 1197 1309 1463 1617 1683 1881 2261 2499 2793 2907 3087 3553 3773 3927 4389 4851 5831 6517 6783 7497 8379 9163 10241 10659 11319 11781 13167 15827 17493 19551 20349 24871 27489 30723 31977 33957 47481 52479 58653 64141 71687 74613 82467 92169 110789 142443 174097 192423 215061 223839 332367 522291 577269 645183 997101 1218679 1566873 3656037 10968111