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55111320 = 23335114639
BaseRepresentation
bin1101001000111…
…0111010011000
310211200221112000
43102032322120
5103102030240
65245121000
71236303255
oct322167230
9124627460
1055111320
1129121a50
1216559160
13b557a64
14746842c
154c89430
hex348ee98

55111320 has 128 divisors (see below), whose sum is σ = 200448000. Its totient is φ = 13357440.

The previous prime is 55111291. The next prime is 55111321. The reversal of 55111320 is 2311155.

55111320 is a `hidden beast` number, since 551 + 113 + 2 + 0 = 666.

55111320 is digitally balanced in base 2, because in such base 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 = 55111293 and 55111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55111321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9561 + ... + 14199.

It is an arithmetic number, because the mean of its divisors is an integer number (1566000).

Almost surely, 255111320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100224000).

55111320 is an abundant number, since it is smaller than the sum of its proper divisors (145336680).

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

55111320 is a wasteful number, since it uses less digits than its factorization.

55111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 55111320 is about 7423.6998861754. The cubic root of 55111320 is about 380.5516456956.

Adding to 55111320 its reverse (2311155), we get a palindrome (57422475).

The spelling of 55111320 in words is "fifty-five million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 4639 5940 9278 11880 13917 18556 23195 27834 37112 41751 46390 51029 55668 69585 83502 92780 102058 111336 125253 139170 153087 167004 185560 204116 208755 250506 255145 278340 306174 334008 408232 417510 459261 501012 510290 556680 612348 626265 765435 835020 918522 1002024 1020580 1224696 1252530 1377783 1530870 1670040 1837044 2041160 2296305 2505060 2755566 3061740 3674088 4592610 5010120 5511132 6123480 6888915 9185220 11022264 13777830 18370440 27555660 55111320