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10813140 = 22325134621
BaseRepresentation
bin101001001111…
…111011010100
3202100100211200
4221033323110
510232010030
61023432500
7160624122
oct51177324
922310750
1010813140
116116088
123755730
132317a10
141616912
15e38d60
hexa4fed4

10813140 has 72 divisors (see below), whose sum is σ = 35330568. Its totient is φ = 2661120.

The previous prime is 10813123. The next prime is 10813163. The reversal of 10813140 is 4131801.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 10771524 = 204^2 + 3282^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30 + ... + 4650.

Almost surely, 210813140 is an apocalyptic number.

10813140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10813140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665284).

10813140 is an abundant number, since it is smaller than the sum of its proper divisors (24517428).

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

10813140 is a wasteful number, since it uses less digits than its factorization.

10813140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4644 counting only the distinct ones).

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

The square root of 10813140 is about 3288.3339246494. Note that the first 3 decimals coincide. The cubic root of 10813140 is about 221.1314983535.

Adding to 10813140 its reverse (4131801), we get a palindrome (14944941).

The spelling of 10813140 in words is "ten million, eight hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4621 9242 13863 18484 23105 27726 41589 46210 55452 60073 69315 83178 92420 120146 138630 166356 180219 207945 240292 277260 300365 360438 415890 540657 600730 720876 831780 901095 1081314 1201460 1802190 2162628 2703285 3604380 5406570 10813140