Search a number
-
+
10198914 = 2311413769
BaseRepresentation
bin100110111001…
…111110000010
3201012011021120
4212321332002
510102331124
61002333110
7152455305
oct46717602
921164246
1010198914
115836660
1234ba196
13216127b
1414d6b3c
15d66d79
hex9b9f82

10198914 has 32 divisors (see below), whose sum is σ = 22800960. Its totient is φ = 3014400.

The previous prime is 10198897. The next prime is 10198927. The reversal of 10198914 is 41989101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 822 + ... + 4590.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 210198914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10198914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400480).

10198914 is an abundant number, since it is smaller than the sum of its proper divisors (12602046).

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

10198914 is a wasteful number, since it uses less digits than its factorization.

10198914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826.

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 10198914 is about 3193.5738601135. The cubic root of 10198914 is about 216.8625914828.

The spelling of 10198914 in words is "ten million, one hundred ninety-eight thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 3769 7538 11307 22614 41459 82918 124377 154529 248754 309058 463587 927174 1699819 3399638 5099457 10198914