[go: up one dir, main page]

Search a number
-
+
14623000 = 235372089
BaseRepresentation
bin110111110010…
…000100011000
31000111220222121
4313302010120
512220414000
61241231024
7235202440
oct67620430
930456877
1014623000
118288527
124a92474
13304cb82
141d29120
15143cb1a
hexdf2118

14623000 has 64 divisors (see below), whose sum is σ = 39124800. Its totient is φ = 5011200.

The previous prime is 14622997. The next prime is 14623001. The reversal of 14623000 is 32641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14623001) 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 15 ways as a sum of consecutive naturals, for example, 5956 + ... + 8044.

It is an arithmetic number, because the mean of its divisors is an integer number (611325).

Almost surely, 214623000 is an apocalyptic number.

14623000 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 14623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19562400).

14623000 is an abundant number, since it is smaller than the sum of its proper divisors (24501800).

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

14623000 is a wasteful number, since it uses less digits than its factorization.

14623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 14623000 is about 3824.0031380740. The cubic root of 14623000 is about 244.5375142999.

Adding to 14623000 its reverse (32641), we get a palindrome (14655641).

The spelling of 14623000 in words is "fourteen million, six hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2089 3500 4178 7000 8356 10445 14623 16712 20890 29246 41780 52225 58492 73115 83560 104450 116984 146230 208900 261125 292460 365575 417800 522250 584920 731150 1044500 1462300 1827875 2089000 2924600 3655750 7311500 14623000