Search a number
-
+
13189400 = 235279421
BaseRepresentation
bin110010010100…
…000100011000
3220211002110022
4302110010120
511334030100
61150410012
7220052030
oct62240430
926732408
1013189400
117499434
124500908
13296a4a3
141a748c0
151257e85
hexc94118

13189400 has 48 divisors (see below), whose sum is σ = 35049840. Its totient is φ = 4521600.

The previous prime is 13189369. The next prime is 13189409. The reversal of 13189400 is 498131.

It is a self number, because there is not a number n which added to its sum of digits gives 13189400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13189409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3311 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (730205).

Almost surely, 213189400 is an apocalyptic number.

13189400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13189400 is an abundant number, since it is smaller than the sum of its proper divisors (21860440).

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

13189400 is a wasteful number, since it uses less digits than its factorization.

13189400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9444 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 13189400 is about 3631.7213549500. The cubic root of 13189400 is about 236.2698722588.

The spelling of 13189400 in words is "thirteen million, one hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 9421 18842 37684 47105 65947 75368 94210 131894 188420 235525 263788 329735 376840 471050 527576 659470 942100 1318940 1648675 1884200 2637880 3297350 6594700 13189400