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10819494 = 234722947
BaseRepresentation
bin101001010001…
…011110100110
3202100200120000
4221101132212
510232210434
61023522130
7160651500
oct51213646
922320500
1010819494
11611a934
123759346
13231a88a
141618d70
15e3ab99
hexa517a6

10819494 has 120 divisors (see below), whose sum is σ = 29795040. Its totient is φ = 2921184.

The previous prime is 10819489. The next prime is 10819517. The reversal of 10819494 is 49491801.

10819494 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108194942 = 234122900832072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 230179 + ... + 230225.

It is an arithmetic number, because the mean of its divisors is an integer number (248292).

Almost surely, 210819494 is an apocalyptic number.

10819494 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 10819494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897520).

10819494 is an abundant number, since it is smaller than the sum of its proper divisors (18975546).

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

10819494 is a wasteful number, since it uses less digits than its factorization.

10819494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10819494 is about 3289.2999255161. The cubic root of 10819494 is about 221.1748035179.

The spelling of 10819494 in words is "ten million, eight hundred nineteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 47 49 54 58 63 81 87 94 98 126 141 147 162 174 189 203 261 282 294 329 378 406 423 441 522 567 609 658 783 846 882 987 1134 1218 1269 1323 1363 1421 1566 1827 1974 2303 2349 2538 2646 2726 2842 2961 3654 3807 3969 4089 4263 4606 4698 5481 5922 6909 7614 7938 8178 8526 8883 9541 10962 12267 12789 13818 16443 17766 19082 20727 24534 25578 26649 28623 32886 36801 38367 41454 53298 57246 62181 66787 73602 76734 85869 110403 115101 124362 133574 171738 186543 200361 220806 230202 257607 373086 400722 515214 601083 772821 1202166 1545642 1803249 3606498 5409747 10819494