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11354130 = 23251741181
BaseRepresentation
bin101011010100…
…000000010010
3210100211221100
4223110000102
510401313010
61043205230
7165336264
oct53240022
923324840
1011354130
116455587
123976816
132477028
141717b34
15ee42c0
hexad4012

11354130 has 96 divisors (see below), whose sum is σ = 32196528. Its totient is φ = 2764800.

The previous prime is 11354129. The next prime is 11354131. The reversal of 11354130 is 3145311.

It is an interprime number because it is at equal distance from previous prime (11354129) and next prime (11354131).

It can be written as a sum of positive squares in 8 ways, for example, as 641601 + 10712529 = 801^2 + 3273^2 .

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 (11354131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62640 + ... + 62820.

Almost surely, 211354130 is an apocalyptic number.

11354130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11354130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264).

11354130 is an abundant number, since it is smaller than the sum of its proper divisors (20842398).

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

11354130 is a wasteful number, since it uses less digits than its factorization.

11354130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11354130 is about 3369.5889957085. The cubic root of 11354130 is about 224.7594466134.

Adding to 11354130 its reverse (3145311), we get a palindrome (14499441).

The spelling of 11354130 in words is "eleven million, three hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 41 45 51 82 85 90 102 123 153 170 181 205 246 255 306 362 369 410 510 543 615 697 738 765 905 1086 1230 1394 1530 1629 1810 1845 2091 2715 3077 3258 3485 3690 4182 5430 6154 6273 6970 7421 8145 9231 10455 12546 14842 15385 16290 18462 20910 22263 27693 30770 31365 37105 44526 46155 55386 62730 66789 74210 92310 111315 126157 133578 138465 222630 252314 276930 333945 378471 630785 667890 756942 1135413 1261570 1892355 2270826 3784710 5677065 11354130