[go: up one dir, main page]

Search a number
-
+
10241412 = 2231761823
BaseRepresentation
bin100111000100…
…010110000100
3201021022120120
4213010112010
510110211122
61003301540
7153023226
oct47042604
921238516
1010241412
115865585
12351a8b0
13217770c
141508416
15d7475c
hex9c4584

10241412 has 48 divisors (see below), whose sum is σ = 25748352. Its totient is φ = 3156480.

The previous prime is 10241401. The next prime is 10241443. The reversal of 10241412 is 21414201.

It is a junction number, because it is equal to n+sod(n) for n = 10241391 and 10241400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12033 + ... + 12855.

It is an arithmetic number, because the mean of its divisors is an integer number (536424).

Almost surely, 210241412 is an apocalyptic number.

10241412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874176).

10241412 is an abundant number, since it is smaller than the sum of its proper divisors (15506940).

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

10241412 is a wasteful number, since it uses less digits than its factorization.

10241412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10241412 is about 3200.2206173950. The cubic root of 10241412 is about 217.1633900086.

Adding to 10241412 its reverse (21414201), we get a palindrome (31655613).

It can be divided in two parts, 102 and 41412, that added together give a palindrome (41514).

The spelling of 10241412 in words is "ten million, two hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 823 1037 1646 2074 2469 3111 3292 4148 4938 6222 9876 12444 13991 27982 41973 50203 55964 83946 100406 150609 167892 200812 301218 602436 853451 1706902 2560353 3413804 5120706 10241412