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11949168 = 2437115361
BaseRepresentation
bin101101100101…
…010001110000
3211111002011210
4231211101300
511024333133
61104040120
7203365140
oct55452160
924432153
1011949168
116821650
124003040
132624b1a
141830920
1510b0763
hexb65470

11949168 has 160 divisors (see below), whose sum is σ = 39854592. Its totient is φ = 2995200.

The previous prime is 11949149. The next prime is 11949173. The reversal of 11949168 is 86194911.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 195858 + ... + 195918.

Almost surely, 211949168 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 11949168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296).

11949168 is an abundant number, since it is smaller than the sum of its proper divisors (27905424).

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

11949168 is a wasteful number, since it uses less digits than its factorization.

11949168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 11949168 is about 3456.7568615684. The cubic root of 11949168 is about 228.6191236779.

The spelling of 11949168 in words is "eleven million, nine hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 53 56 61 66 77 84 88 106 112 122 132 154 159 168 176 183 212 231 244 264 308 318 336 366 371 424 427 462 488 528 583 616 636 671 732 742 848 854 924 976 1113 1166 1232 1272 1281 1342 1464 1484 1708 1749 1848 2013 2226 2332 2544 2562 2684 2928 2968 3233 3416 3498 3696 4026 4081 4452 4664 4697 5124 5368 5936 6466 6832 6996 8052 8162 8904 9328 9394 9699 10248 10736 12243 12932 13992 14091 16104 16324 17808 18788 19398 20496 22631 24486 25864 27984 28182 32208 32648 35563 37576 38796 45262 48972 51728 56364 65296 67893 71126 75152 77592 90524 97944 106689 112728 135786 142252 155184 181048 195888 213378 225456 248941 271572 284504 362096 426756 497882 543144 569008 746823 853512 995764 1086288 1493646 1707024 1991528 2987292 3983056 5974584 11949168