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11345180 = 22571153139
BaseRepresentation
bin101011010001…
…110100011100
3210100101122212
4223101310130
510401021210
61043055552
7165301220
oct53216434
923311585
1011345180
116449890
1239715b8
132472c32
141714780
15ee1805
hexad1d1c

11345180 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3444480.

The previous prime is 11345179. The next prime is 11345183. The reversal of 11345180 is 8154311.

11345180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81551 + ... + 81689.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 211345180 is an apocalyptic number.

11345180 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 11345180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

11345180 is an abundant number, since it is smaller than the sum of its proper divisors (19136740).

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

11345180 is a wasteful number, since it uses less digits than its factorization.

11345180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 11345180 is about 3368.2606787480. The cubic root of 11345180 is about 224.7003748386.

Adding to 11345180 its reverse (8154311), we get a palindrome (19499491).

The spelling of 11345180 in words is "eleven million, three hundred forty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 139 140 154 212 220 265 278 308 371 385 530 556 583 695 742 770 973 1060 1166 1390 1484 1529 1540 1855 1946 2332 2780 2915 3058 3710 3892 4081 4865 5830 6116 7367 7420 7645 8162 9730 10703 11660 14734 15290 16324 19460 20405 21406 29468 30580 36835 40810 42812 51569 53515 73670 81037 81620 103138 107030 147340 162074 206276 214060 257845 324148 405185 515690 567259 810370 1031380 1134518 1620740 2269036 2836295 5672590 11345180