Search a number
-
+
18046000 = 245371289
BaseRepresentation
bin100010011010…
…1110000110000
31020221211110101
41010311300300
514104433000
61442442144
7306250150
oct104656060
936854411
1018046000
11a206255
126063354
13397ac0b
14257a760
1518b6e6a
hex1135c30

18046000 has 80 divisors (see below), whose sum is σ = 49907520. Its totient is φ = 6182400.

The previous prime is 18045997. The next prime is 18046001. The reversal of 18046000 is 64081.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18046001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13356 + ... + 14644.

It is an arithmetic number, because the mean of its divisors is an integer number (623844).

Almost surely, 218046000 is an apocalyptic number.

18046000 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 18046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953760).

18046000 is an abundant number, since it is smaller than the sum of its proper divisors (31861520).

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

18046000 is a wasteful number, since it uses less digits than its factorization.

18046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 18046000 is about 4248.0583800132. The cubic root of 18046000 is about 262.2971978569.

The spelling of 18046000 in words is "eighteen million, forty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1289 1400 1750 2000 2578 2800 3500 5156 6445 7000 9023 10312 12890 14000 18046 20624 25780 32225 36092 45115 51560 64450 72184 90230 103120 128900 144368 161125 180460 225575 257800 322250 360920 451150 515600 644500 721840 902300 1127875 1289000 1804600 2255750 2578000 3609200 4511500 9023000 18046000