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12055400 = 2352779109
BaseRepresentation
bin101101111111…
…001101101000
3211200110220022
4231333031220
511041233100
61110220012
7204316640
oct55771550
924613808
1012055400
116894445
124054608
132661296
14185b520
1510d1e85
hexb7f368

12055400 has 96 divisors (see below), whose sum is σ = 32736000. Its totient is φ = 4043520.

The previous prime is 12055391. The next prime is 12055409. The reversal of 12055400 is 455021.

It is an interprime number because it is at equal distance from previous prime (12055391) and next prime (12055409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12055409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110546 + ... + 110654.

It is an arithmetic number, because the mean of its divisors is an integer number (341000).

Almost surely, 212055400 is an apocalyptic number.

12055400 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 12055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368000).

12055400 is an abundant number, since it is smaller than the sum of its proper divisors (20680600).

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

12055400 is a wasteful number, since it uses less digits than its factorization.

12055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 12055400 is about 3472.0887085442. The cubic root of 12055400 is about 229.2946253251.

The spelling of 12055400 in words is "twelve million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 109 140 158 175 200 218 280 316 350 395 436 545 553 632 700 763 790 872 1090 1106 1400 1526 1580 1975 2180 2212 2725 2765 3052 3160 3815 3950 4360 4424 5450 5530 6104 7630 7900 8611 10900 11060 13825 15260 15800 17222 19075 21800 22120 27650 30520 34444 38150 43055 55300 60277 68888 76300 86110 110600 120554 152600 172220 215275 241108 301385 344440 430550 482216 602770 861100 1205540 1506925 1722200 2411080 3013850 6027700 12055400