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16872300 = 2234522083
BaseRepresentation
bin100000001011…
…1001101101100
31011202012110000
41000113031230
513304403200
61401344300
7263261244
oct100271554
934665400
1016872300
119584455
125798090
133659913
142352b24
151734300
hex101736c

16872300 has 90 divisors (see below), whose sum is σ = 54719588. Its totient is φ = 4497120.

The previous prime is 16872283. The next prime is 16872301. The reversal of 16872300 is 327861.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16872301) 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 29 ways as a sum of consecutive naturals, for example, 7059 + ... + 9141.

Almost surely, 216872300 is an apocalyptic number.

16872300 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 16872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27359794).

16872300 is an abundant number, since it is smaller than the sum of its proper divisors (37847288).

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

16872300 is a wasteful number, since it uses less digits than its factorization.

16872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 16872300 is about 4107.5905346078. The cubic root of 16872300 is about 256.4827114643.

The spelling of 16872300 in words is "sixteen million, eight hundred seventy-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2083 2700 4050 4166 6249 8100 8332 10415 12498 18747 20830 24996 31245 37494 41660 52075 56241 62490 74988 93735 104150 112482 124980 156225 168723 187470 208300 224964 281205 312450 337446 374940 468675 562410 624900 674892 843615 937350 1124820 1406025 1687230 1874700 2812050 3374460 4218075 5624100 8436150 16872300