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10996104 = 2337293761
BaseRepresentation
bin101001111100…
…100110001000
3202200122211010
4221330212020
510303333404
61031403520
7162315420
oct51744610
922618733
1010996104
116230599
1238235a0
132380092
141663480
15e73189
hexa7c988

10996104 has 128 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 2903040.

The previous prime is 10996091. The next prime is 10996109. The reversal of 10996104 is 40169901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10996109) 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 31 ways as a sum of consecutive naturals, for example, 180234 + ... + 180294.

It is an arithmetic number, because the mean of its divisors is an integer number (265050).

Almost surely, 210996104 is an apocalyptic number.

10996104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10996104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

10996104 is an abundant number, since it is smaller than the sum of its proper divisors (22930296).

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

10996104 is a wasteful number, since it uses less digits than its factorization.

10996104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10996104 is about 3316.0373942403. The cubic root of 10996104 is about 222.3717495127.

The spelling of 10996104 in words is "ten million, nine hundred ninety-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 61 74 84 87 111 116 122 148 168 174 183 203 222 232 244 259 296 348 366 406 427 444 488 518 609 696 732 777 812 854 888 1036 1073 1218 1281 1464 1554 1624 1708 1769 2072 2146 2257 2436 2562 3108 3219 3416 3538 4292 4514 4872 5124 5307 6216 6438 6771 7076 7511 8584 9028 10248 10614 12383 12876 13542 14152 15022 15799 18056 21228 22533 24766 25752 27084 30044 31598 37149 42456 45066 47397 49532 54168 60088 63196 65453 74298 90132 94794 99064 126392 130906 148596 180264 189588 196359 261812 297192 379176 392718 458171 523624 785436 916342 1374513 1570872 1832684 2749026 3665368 5498052 10996104