Search a number
-
+
13890000 = 24354463
BaseRepresentation
bin110100111111…
…000111010000
3222010200111110
4310333013100
512023440000
61213413320
7226030425
oct64770720
928120443
1013890000
117927843
12479a240
132b54347
141bb7d4c
151345850
hexd3f1d0

13890000 has 100 divisors (see below), whose sum is σ = 44935616. Its totient is φ = 3696000.

The previous prime is 13889987. The next prime is 13890011. The reversal of 13890000 is 9831.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29769 + ... + 30231.

Almost surely, 213890000 is an apocalyptic number.

13890000 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 13890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467808).

13890000 is an abundant number, since it is smaller than the sum of its proper divisors (31045616).

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

13890000 is an equidigital number, since it uses as much as digits as its factorization.

13890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13890000 is about 3726.9290307168. The cubic root of 13890000 is about 240.3813382117.

Adding to 13890000 its reverse (9831), we get a palindrome (13899831).

The spelling of 13890000 in words is "thirteen million, eight hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 463 500 600 625 750 926 1000 1200 1250 1389 1500 1852 1875 2000 2315 2500 2778 3000 3704 3750 4630 5000 5556 6000 6945 7408 7500 9260 10000 11112 11575 13890 15000 18520 22224 23150 27780 30000 34725 37040 46300 55560 57875 69450 92600 111120 115750 138900 173625 185200 231500 277800 289375 347250 463000 555600 578750 694500 868125 926000 1157500 1389000 1736250 2315000 2778000 3472500 4630000 6945000 13890000