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10954146 = 2372193753
BaseRepresentation
bin101001110010…
…010110100010
3202121112021010
4221302112202
510301013041
61030441350
7162052200
oct51622642
922545233
1010954146
116202015
123803256
132366c58
141652070
15e65a16
hexa725a2

10954146 has 96 divisors (see below), whose sum is σ = 28071360. Its totient is φ = 2830464.

The previous prime is 10954133. The next prime is 10954147. The reversal of 10954146 is 64145901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10954147) 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 47 ways as a sum of consecutive naturals, for example, 206656 + ... + 206708.

It is an arithmetic number, because the mean of its divisors is an integer number (292410).

Almost surely, 210954146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10954146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035680).

10954146 is an abundant number, since it is smaller than the sum of its proper divisors (17117214).

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

10954146 is a wasteful number, since it uses less digits than its factorization.

10954146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10954146 is about 3309.7048206751. The cubic root of 10954146 is about 222.0885532610.

The spelling of 10954146 in words is "ten million, nine hundred fifty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 49 53 57 74 98 106 111 114 133 147 159 222 259 266 294 318 371 399 518 703 742 777 798 931 1007 1113 1406 1554 1813 1862 1961 2014 2109 2226 2597 2793 3021 3626 3922 4218 4921 5194 5439 5586 5883 6042 7049 7791 9842 10878 11766 13727 14098 14763 15582 21147 27454 29526 34447 37259 41181 42294 49343 68894 74518 82362 96089 98686 103341 111777 148029 192178 206682 223554 260813 288267 296058 521626 576534 782439 1564878 1825691 3651382 5477073 10954146