Search a number
-
+
10240216 = 2372151173
BaseRepresentation
bin100111000100…
…000011011000
3201021020221021
4213010003120
510110141331
61003252224
7153016600
oct47040330
921236837
1010240216
115864698
12351a074
132176ccc
141507c00
15d74211
hex9c40d8

10240216 has 48 divisors (see below), whose sum is σ = 22613040. Its totient is φ = 4334400.

The previous prime is 10240211. The next prime is 10240229. The reversal of 10240216 is 61204201.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10240216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59106 + ... + 59278.

It is an arithmetic number, because the mean of its divisors is an integer number (471105).

Almost surely, 210240216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11306520).

10240216 is an abundant number, since it is smaller than the sum of its proper divisors (12372824).

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

10240216 is a wasteful number, since it uses less digits than its factorization.

10240216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10240216 is about 3200.0337498220. The cubic root of 10240216 is about 217.1549361768.

Adding to 10240216 its reverse (61204201), we get a palindrome (71444417).

The spelling of 10240216 in words is "ten million, two hundred forty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 151 173 196 302 346 392 604 692 1057 1208 1211 1384 2114 2422 4228 4844 7399 8456 8477 9688 14798 16954 26123 29596 33908 52246 59192 67816 104492 182861 208984 365722 731444 1280027 1462888 2560054 5120108 10240216