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14285100 = 22352172801
BaseRepresentation
bin110110011111…
…100100101100
3222212202110210
4312133210230
512124110400
61230102420
7232264344
oct66374454
928782423
1014285100
118077675
12494aa10
132c6212b
141c7bd24
1513c2950
hexd9f92c

14285100 has 72 divisors (see below), whose sum is σ = 43778448. Its totient is φ = 3584000.

The previous prime is 14285099. The next prime is 14285101. The reversal of 14285100 is 158241.

It is an interprime number because it is at equal distance from previous prime (14285099) and next prime (14285101).

It is not an unprimeable number, because it can be changed into a prime (14285101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700 + ... + 6500.

It is an arithmetic number, because the mean of its divisors is an integer number (608034).

Almost surely, 214285100 is an apocalyptic number.

14285100 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 14285100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21889224).

14285100 is an abundant number, since it is smaller than the sum of its proper divisors (29493348).

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

14285100 is a wasteful number, since it uses less digits than its factorization.

14285100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 14285100 is about 3779.5634668570. The cubic root of 14285100 is about 242.6392723910.

The spelling of 14285100 in words is "fourteen million, two hundred eighty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 2801 5100 5602 8403 11204 14005 16806 28010 33612 42015 47617 56020 70025 84030 95234 140050 142851 168060 190468 210075 238085 280100 285702 420150 476170 571404 714255 840300 952340 1190425 1428510 2380850 2857020 3571275 4761700 7142550 14285100