Search a number
-
+
10119114 = 2331773151
BaseRepresentation
bin100110100110…
…011111001010
3201001002211000
4212212133022
510042302424
61000515430
7152003535
oct46463712
921032730
1010119114
115791705
12347bb76
132133b55
1414b5a1c
15d4d3c9
hex9a67ca

10119114 has 64 divisors (see below), whose sum is σ = 24295680. Its totient is φ = 3110400.

The previous prime is 10119079. The next prime is 10119143. The reversal of 10119114 is 41191101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 66939 + ... + 67089.

It is an arithmetic number, because the mean of its divisors is an integer number (379620).

Almost surely, 210119114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10119114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147840).

10119114 is an abundant number, since it is smaller than the sum of its proper divisors (14176566).

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

10119114 is a wasteful number, since it uses less digits than its factorization.

10119114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 10119114 is about 3181.0554852124. The cubic root of 10119114 is about 216.2955060325.

The spelling of 10119114 in words is "ten million, one hundred nineteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 102 146 151 153 219 302 306 438 453 459 657 906 918 1241 1314 1359 1971 2482 2567 2718 3723 3942 4077 5134 7446 7701 8154 11023 11169 15402 22046 22338 23103 33069 33507 46206 66138 67014 69309 99207 138618 187391 198414 297621 374782 562173 595242 1124346 1686519 3373038 5059557 10119114