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29973300 = 22352722039
BaseRepresentation
bin111001001010…
…1101100110100
32002101210122020
41302111230310
530133121200
62550233140
7512524500
oct162255464
962353566
1029973300
1115a12425
12a0557b0
136295aa6
143da3300
152970ea0
hex1c95b34

29973300 has 108 divisors (see below), whose sum is σ = 100931040. Its totient is φ = 6847680.

The previous prime is 29973299. The next prime is 29973319. The reversal of 29973300 is 337992.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 13681 + ... + 15719.

Almost surely, 229973300 is an apocalyptic number.

29973300 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 29973300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465520).

29973300 is an abundant number, since it is smaller than the sum of its proper divisors (70957740).

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

29973300 is a wasteful number, since it uses less digits than its factorization.

29973300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 29973300 is about 5474.7876671155. The cubic root of 29973300 is about 310.6310420037.

The spelling of 29973300 in words is "twenty-nine million, nine hundred seventy-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2039 2100 2450 2940 3675 4078 4900 6117 7350 8156 10195 12234 14273 14700 20390 24468 28546 30585 40780 42819 50975 57092 61170 71365 85638 99911 101950 122340 142730 152925 171276 199822 203900 214095 285460 299733 305850 356825 399644 428190 499555 599466 611700 713650 856380 999110 1070475 1198932 1427300 1498665 1998220 2140950 2497775 2997330 4281900 4995550 5994660 7493325 9991100 14986650 29973300