Search a number
-
+
10983216 = 2431912043
BaseRepresentation
bin101001111001…
…011100110000
3202200000010210
4221321130300
510302430331
61031224120
7162233016
oct51713460
922600123
1010983216
116221942
123818040
13237725a
14165c8b6
15e6e446
hexa79730

10983216 has 40 divisors (see below), whose sum is σ = 29869120. Its totient is φ = 3468096.

The previous prime is 10983211. The next prime is 10983221. The reversal of 10983216 is 61238901.

10983216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10983211) and next prime (10983221).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10983211) 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, 5110 + ... + 6933.

It is an arithmetic number, because the mean of its divisors is an integer number (746728).

Almost surely, 210983216 is an apocalyptic number.

10983216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10983216 is an abundant number, since it is smaller than the sum of its proper divisors (18885904).

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

10983216 is a wasteful number, since it uses less digits than its factorization.

10983216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12073 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10983216 is about 3314.0935412266. The cubic root of 10983216 is about 222.2848385029.

The spelling of 10983216 in words is "ten million, nine hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 12043 24086 36129 48172 72258 96344 144516 192688 228817 289032 457634 578064 686451 915268 1372902 1830536 2745804 3661072 5491608 10983216