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10189000 = 235323443
BaseRepresentation
bin100110110111…
…100011001000
3201011122200101
4212313203020
510102022000
61002215144
7152414353
oct46674310
921148611
1010189000
11582a168
1234b44b4
1321598c3
1414d329a
15d63e6a
hex9b78c8

10189000 has 64 divisors (see below), whose sum is σ = 24935040. Its totient is φ = 3889600.

The previous prime is 10188991. The next prime is 10189031. The reversal of 10189000 is 98101.

10189000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101890003 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22779 + ... + 23221.

It is an arithmetic number, because the mean of its divisors is an integer number (389610).

Almost surely, 210189000 is an apocalyptic number.

10189000 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 10189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467520).

10189000 is an abundant number, since it is smaller than the sum of its proper divisors (14746040).

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

10189000 is a wasteful number, since it uses less digits than its factorization.

10189000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 10189000 is about 3192.0213031871. The cubic root of 10189000 is about 216.7923005758.

The spelling of 10189000 in words is "ten million, one hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 443 460 500 575 886 920 1000 1150 1772 2215 2300 2875 3544 4430 4600 5750 8860 10189 11075 11500 17720 20378 22150 23000 40756 44300 50945 55375 81512 88600 101890 110750 203780 221500 254725 407560 443000 509450 1018900 1273625 2037800 2547250 5094500 10189000