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29093400 = 23325272309
BaseRepresentation
bin110111011111…
…0111000011000
32000202002122100
41232332320120
524421442100
62515323400
7502201260
oct156767030
960662570
1029093400
1115471336
1298b0560
13604843b
143c147a0
15284a400
hex1bbee18

29093400 has 144 divisors (see below), whose sum is σ = 111711600. Its totient is φ = 6647040.

The previous prime is 29093377. The next prime is 29093411. The reversal of 29093400 is 439092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11446 + ... + 13754.

It is an arithmetic number, because the mean of its divisors is an integer number (775775).

Almost surely, 229093400 is an apocalyptic number.

29093400 is a gapful number since it is divisible by the number (20) 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 29093400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55855800).

29093400 is an abundant number, since it is smaller than the sum of its proper divisors (82618200).

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

29093400 is a wasteful number, since it uses less digits than its factorization.

29093400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 29093400 is about 5393.8298082161. The cubic root of 29093400 is about 307.5611617385.

The spelling of 29093400 in words is "twenty-nine million, ninety-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2309 2520 3150 4200 4618 6300 6927 9236 11545 12600 13854 16163 18472 20781 23090 27708 32326 34635 41562 46180 48489 55416 57725 64652 69270 80815 83124 92360 96978 103905 115450 129304 138540 145467 161630 166248 173175 193956 207810 230900 242445 277080 290934 323260 346350 387912 404075 415620 461800 484890 519525 581868 646520 692700 727335 808150 831240 969780 1039050 1163736 1212225 1385400 1454670 1616300 1939560 2078100 2424450 2909340 3232600 3636675 4156200 4848900 5818680 7273350 9697800 14546700 29093400