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20738200 = 2352714813
BaseRepresentation
bin100111100011…
…1000010011000
31110000121110111
41033013002120
520302110300
62020254104
7341162140
oct117070230
943017414
1020738200
1110784a0a
126b41334
1343b1432
142a7b920
151c499ba
hex13c7098

20738200 has 48 divisors (see below), whose sum is σ = 55108080. Its totient is φ = 7109760.

The previous prime is 20738191. The next prime is 20738209. The reversal of 20738200 is 283702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20738191) and next prime (20738209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20738209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6007 + ... + 8806.

It is an arithmetic number, because the mean of its divisors is an integer number (1148085).

Almost surely, 220738200 is an apocalyptic number.

20738200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20738200 is an abundant number, since it is smaller than the sum of its proper divisors (34369880).

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

20738200 is a wasteful number, since it uses less digits than its factorization.

20738200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14836 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 20738200 is about 4553.9213871124. The cubic root of 20738200 is about 274.7411338080.

The spelling of 20738200 in words is "twenty million, seven hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 14813 29626 59252 74065 103691 118504 148130 207382 296260 370325 414764 518455 592520 740650 829528 1036910 1481300 2073820 2592275 2962600 4147640 5184550 10369100 20738200