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14282100 = 22325272267
BaseRepresentation
bin110110011110…
…110101110100
3222212121100200
4312132311310
512124011400
61230040500
7232252530
oct66366564
928777320
1014282100
118075398
124949130
132c60961
141c7abc0
1513c1b00
hexd9ed74

14282100 has 108 divisors (see below), whose sum is σ = 51184224. Its totient is φ = 3263040.

The previous prime is 14282089. The next prime is 14282101. The reversal of 14282100 is 128241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14282101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5167 + ... + 7433.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 214282100 is an apocalyptic number.

14282100 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 14282100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

14282100 is an abundant number, since it is smaller than the sum of its proper divisors (36902124).

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

14282100 is a wasteful number, since it uses less digits than its factorization.

14282100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14282100 is about 3779.1665747887. The cubic root of 14282100 is about 242.6222857224.

The spelling of 14282100 in words is "fourteen million, two hundred eighty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 2267 3150 4534 6300 6801 9068 11335 13602 15869 20403 22670 27204 31738 34005 40806 45340 47607 56675 63476 68010 79345 81612 95214 102015 113350 136020 142821 158690 170025 190428 204030 226700 238035 285642 317380 340050 396725 408060 476070 510075 571284 680100 714105 793450 952140 1020150 1190175 1428210 1586900 2040300 2380350 2856420 3570525 4760700 7141050 14282100