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11095920 = 2433511467
BaseRepresentation
bin101010010100…
…111101110000
3202212201202000
4222110331300
510320032140
61033454000
7163212423
oct52247560
922781660
1011095920
116299590
123871300
1323b6644
14168b9ba
15e92a30
hexa94f70

11095920 has 160 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 2684160.

The previous prime is 11095919. The next prime is 11095949. The reversal of 11095920 is 2959011.

It is a happy number.

11095920 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23527 + ... + 23993.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 211095920 is an apocalyptic number.

11095920 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 11095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

11095920 is an abundant number, since it is smaller than the sum of its proper divisors (30687120).

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

11095920 is a wasteful number, since it uses less digits than its factorization.

11095920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 11095920 is about 3331.0538872855. The cubic root of 11095920 is about 223.0425760101.

The spelling of 11095920 in words is "eleven million, ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 467 495 528 540 594 660 720 792 880 934 990 1080 1188 1320 1401 1485 1584 1868 1980 2160 2335 2376 2640 2802 2970 3736 3960 4203 4670 4752 5137 5604 5940 7005 7472 7920 8406 9340 10274 11208 11880 12609 14010 15411 16812 18680 20548 21015 22416 23760 25218 25685 28020 30822 33624 37360 41096 42030 46233 50436 51370 56040 61644 63045 67248 77055 82192 84060 92466 100872 102740 112080 123288 126090 138699 154110 168120 184932 201744 205480 231165 246576 252180 277398 308220 336240 369864 410960 462330 504360 554796 616440 693495 739728 924660 1008720 1109592 1232880 1386990 1849320 2219184 2773980 3698640 5547960 11095920