Search a number
-
+
10023412 = 2271983227
BaseRepresentation
bin100110001111…
…000111110100
3200212020112111
4212033013310
510031222122
6554500404
7151124530
oct46170764
920766474
1010023412
115726813
123434704
1320cc419
14148cbc0
15d2ed77
hex98f1f4

10023412 has 48 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 4002912.

The previous prime is 10023407. The next prime is 10023443. The reversal of 10023412 is 21432001.

It is a junction number, because it is equal to n+sod(n) for n = 10023392 and 10023401.

It is a congruent 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, 44043 + ... + 44269.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 210023412 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 10023412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

10023412 is an abundant number, since it is smaller than the sum of its proper divisors (11426828).

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

10023412 is a wasteful number, since it uses less digits than its factorization.

10023412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10023412 is about 3165.9772582885. The cubic root of 10023412 is about 215.6114700465.

Adding to 10023412 its reverse (21432001), we get a palindrome (31455413).

The spelling of 10023412 in words is "ten million, twenty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 83 133 166 227 266 332 454 532 581 908 1162 1577 1589 2324 3154 3178 4313 6308 6356 8626 11039 17252 18841 22078 30191 37682 44156 60382 75364 120764 131887 263774 357979 527548 715958 1431916 2505853 5011706 10023412