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11125440 = 263253863
BaseRepresentation
bin101010011100…
…001011000000
3202221020020100
4222130023000
510322003230
61034242400
7163364454
oct52341300
922836210
1011125440
116309787
123886400
1323c6c01
141698664
15e9b660
hexa9c2c0

11125440 has 84 divisors (see below), whose sum is σ = 38276784. Its totient is φ = 2966016.

The previous prime is 11125423. The next prime is 11125441. The reversal of 11125440 is 4452111.

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 (11125441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949 + ... + 4811.

It is an arithmetic number, because the mean of its divisors is an integer number (455676).

Almost surely, 211125440 is an apocalyptic number.

11125440 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 11125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138392).

11125440 is an abundant number, since it is smaller than the sum of its proper divisors (27151344).

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

11125440 is a wasteful number, since it uses less digits than its factorization.

11125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11125440 is about 3335.4819741681. The cubic root of 11125440 is about 223.2401977934.

Adding to 11125440 its reverse (4452111), we get a palindrome (15577551).

The spelling of 11125440 in words is "eleven million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 3863 7726 11589 15452 19315 23178 30904 34767 38630 46356 57945 61808 69534 77260 92712 115890 123616 139068 154520 173835 185424 231780 247232 278136 309040 347670 370848 463560 556272 618080 695340 741696 927120 1112544 1236160 1390680 1854240 2225088 2781360 3708480 5562720 11125440