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10803114 = 2327831033
BaseRepresentation
bin101001001101…
…011110101010
3202022212002100
4221031132222
510231144424
61023314230
7160552650
oct51153652
922285070
1010803114
1161095a3
12374b976
13231329a
141612dd0
15e35dc9
hexa4d7aa

10803114 has 48 divisors (see below), whose sum is σ = 27099072. Its totient is φ = 3046464.

The previous prime is 10803083. The next prime is 10803119. The reversal of 10803114 is 41130801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10803119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9942 + ... + 10974.

It is an arithmetic number, because the mean of its divisors is an integer number (564564).

Almost surely, 210803114 is an apocalyptic number.

10803114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10803114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549536).

10803114 is an abundant number, since it is smaller than the sum of its proper divisors (16295958).

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

10803114 is a wasteful number, since it uses less digits than its factorization.

10803114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10803114 is about 3286.8090908965. The cubic root of 10803114 is about 221.0631324586.

Adding to 10803114 its reverse (41130801), we get a palindrome (51933915).

The spelling of 10803114 in words is "ten million, eight hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1033 1162 1494 1743 2066 3099 3486 5229 6198 7231 9297 10458 14462 18594 21693 43386 65079 85739 130158 171478 257217 514434 600173 771651 1200346 1543302 1800519 3601038 5401557 10803114