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11125620 = 22335111873
BaseRepresentation
bin101010011100…
…001101110100
3202221020111000
4222130031310
510322004440
61034243300
7163365132
oct52341564
922836430
1011125620
116309930
123886530
1323c700c
141698752
15e9b730
hexa9c374

11125620 has 96 divisors (see below), whose sum is σ = 37779840. Its totient is φ = 2695680.

The previous prime is 11125619. The next prime is 11125627. The reversal of 11125620 is 2652111.

11125620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11125593 and 11125602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11125627) 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, 5004 + ... + 6876.

It is an arithmetic number, because the mean of its divisors is an integer number (393540).

Almost surely, 211125620 is an apocalyptic number.

11125620 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 11125620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889920).

11125620 is an abundant number, since it is smaller than the sum of its proper divisors (26654220).

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

11125620 is a wasteful number, since it uses less digits than its factorization.

11125620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11125620 is about 3335.5089566661. The cubic root of 11125620 is about 223.2414017313.

Adding to 11125620 its reverse (2652111), we get a palindrome (13777731).

The spelling of 11125620 in words is "eleven million, one hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1873 1980 2970 3746 5619 5940 7492 9365 11238 16857 18730 20603 22476 28095 33714 37460 41206 50571 56190 61809 67428 82412 84285 101142 103015 112380 123618 168570 185427 202284 206030 247236 252855 309045 337140 370854 412060 505710 556281 618090 741708 927135 1011420 1112562 1236180 1854270 2225124 2781405 3708540 5562810 11125620