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10988838 = 233724153
BaseRepresentation
bin101001111010…
…110100100110
3202200021212000
4221322310212
510303120323
61031310130
7162255300
oct51726446
922607760
1010988838
116226093
12381b346
132379993
141660970
15e70e43
hexa7ad26

10988838 has 48 divisors (see below), whose sum is σ = 28413360. Its totient is φ = 3138912.

The previous prime is 10988837. The next prime is 10988863. The reversal of 10988838 is 83888901.

It is a junction number, because it is equal to n+sod(n) for n = 10988793 and 10988802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10988833) 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, 570 + ... + 4722.

It is an arithmetic number, because the mean of its divisors is an integer number (591945).

Almost surely, 210988838 is an apocalyptic number.

10988838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10988838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206680).

10988838 is an abundant number, since it is smaller than the sum of its proper divisors (17424522).

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

10988838 is a wasteful number, since it uses less digits than its factorization.

10988838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 10988838 is about 3314.9416284454. The cubic root of 10988838 is about 222.3227591568.

The spelling of 10988838 in words is "ten million, nine hundred eighty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4153 8306 12459 24918 29071 37377 58142 74754 87213 112131 174426 203497 224262 261639 406994 523278 610491 784917 1220982 1569834 1831473 3662946 5494419 10988838