Search a number
-
+
12821840 = 245831931
BaseRepresentation
bin110000111010…
…010101010000
3220010102020222
4300322111100
511240244330
61134452212
7213661313
oct60722520
926112228
1012821840
117268269
124364068
13286c0b5
1419ba97a
1511d40e5
hexc3a550

12821840 has 40 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 5064320.

The previous prime is 12821803. The next prime is 12821843. The reversal of 12821840 is 4812821.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5675 + ... + 7605.

Almost surely, 212821840 is an apocalyptic number.

12821840 is a gapful number since it is divisible by the number (10) 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 12821840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092784).

12821840 is an abundant number, since it is smaller than the sum of its proper divisors (17363728).

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

12821840 is a wasteful number, since it uses less digits than its factorization.

12821840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 12821840 is about 3580.7596959305. The cubic root of 12821840 is about 234.0543862677.

The spelling of 12821840 in words is "twelve million, eight hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 1931 3320 3862 6640 7724 9655 15448 19310 30896 38620 77240 154480 160273 320546 641092 801365 1282184 1602730 2564368 3205460 6410920 12821840