Search a number
-
+
10897146 = 2331319243
BaseRepresentation
bin101001100100…
…011011111010
3202111122002000
4221210123322
510242202041
61025321430
7161424051
oct51443372
922448060
1010897146
116173207
123796276
132347020
141639398
15e53bb6
hexa646fa

10897146 has 96 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 3102624.

The previous prime is 10897141. The next prime is 10897157. The reversal of 10897146 is 64179801.

It is a self number, because there is not a number n which added to its sum of digits gives 10897146.

It is not an unprimeable number, because it can be changed into a prime (10897141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 253401 + ... + 253443.

It is an arithmetic number, because the mean of its divisors is an integer number (293370).

Almost surely, 210897146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10897146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

10897146 is an abundant number, since it is smaller than the sum of its proper divisors (17266374).

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

10897146 is a wasteful number, since it uses less digits than its factorization.

10897146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10897146 is about 3301.0825497100. The cubic root of 10897146 is about 221.7026698890.

The spelling of 10897146 in words is "ten million, eight hundred ninety-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 43 54 57 78 86 114 117 129 171 234 247 258 342 351 361 387 494 513 559 702 722 741 774 817 1026 1083 1118 1161 1482 1634 1677 2166 2223 2322 2451 3249 3354 4446 4693 4902 5031 6498 6669 7353 9386 9747 10062 10621 13338 14079 14706 15093 15523 19494 21242 22059 28158 30186 31046 31863 42237 44118 46569 63726 84474 93138 95589 126711 139707 191178 201799 253422 279414 286767 403598 419121 573534 605397 838242 1210794 1816191 3632382 5448573 10897146