Search a number
-
+
10198350 = 23252131173
BaseRepresentation
bin100110111001…
…110101001110
3201012010111200
4212321311032
510102321400
61002330330
7152453541
oct46716516
921163450
1010198350
115836198
1234b99a6
132160c36
1414d6858
15d66b00
hex9b9d4e

10198350 has 72 divisors (see below), whose sum is σ = 27768312. Its totient is φ = 2683200.

The previous prime is 10198337. The next prime is 10198373. The reversal of 10198350 is 5389101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58864 + ... + 59036.

It is an arithmetic number, because the mean of its divisors is an integer number (385671).

Almost surely, 210198350 is an apocalyptic number.

10198350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10198350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884156).

10198350 is an abundant number, since it is smaller than the sum of its proper divisors (17569962).

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

10198350 is a wasteful number, since it uses less digits than its factorization.

10198350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10198350 is about 3193.4855565667. The cubic root of 10198350 is about 216.8585939083.

Subtracting from 10198350 its reverse (5389101), we obtain a square (4809249 = 21932).

The spelling of 10198350 in words is "ten million, one hundred ninety-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 131 150 173 225 262 346 393 450 519 655 786 865 1038 1179 1310 1557 1730 1965 2358 2595 3114 3275 3930 4325 5190 5895 6550 7785 8650 9825 11790 12975 15570 19650 22663 25950 29475 38925 45326 58950 67989 77850 113315 135978 203967 226630 339945 407934 566575 679890 1019835 1133150 1699725 2039670 3399450 5099175 10198350