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20299200 = 263524229
BaseRepresentation
bin100110101101…
…1110111000000
31102012022021020
41031123313000
520144033300
62003025440
7334353225
oct115336700
942168236
1020299200
11105050a9
12696b280
13428967c
1429a594c
151bae8a0
hex135bdc0

20299200 has 84 divisors (see below), whose sum is σ = 66614040. Its totient is φ = 5411840.

The previous prime is 20299171. The next prime is 20299211. The reversal of 20299200 is 299202.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 2686 + ... + 6914.

Almost surely, 220299200 is an apocalyptic number.

20299200 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 20299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33307020).

20299200 is an abundant number, since it is smaller than the sum of its proper divisors (46314840).

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

20299200 is a wasteful number, since it uses less digits than its factorization.

20299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20299200 is about 4505.4633502005. The cubic root of 20299200 is about 272.7886568900.

The spelling of 20299200 in words is "twenty million, two hundred ninety-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4229 4800 8458 12687 16916 21145 25374 33832 42290 50748 63435 67664 84580 101496 105725 126870 135328 169160 202992 211450 253740 270656 317175 338320 405984 422900 507480 634350 676640 811968 845800 1014960 1268700 1353280 1691600 2029920 2537400 3383200 4059840 5074800 6766400 10149600 20299200