Search a number
-
+
10983712 = 254767109
BaseRepresentation
bin101001111001…
…100100100000
3202200000211011
4221321210200
510302434322
61031230304
7162234325
oct51714440
922600734
1010983712
116222253
123818394
13237754c
14165cb4c
15e6e677
hexa79920

10983712 has 48 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 5246208.

The previous prime is 10983697. The next prime is 10983727. The reversal of 10983712 is 21738901.

It is an interprime number because it is at equal distance from previous prime (10983697) and next prime (10983727).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100714 + ... + 100822.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 210983712 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 10983712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

10983712 is an abundant number, since it is smaller than the sum of its proper divisors (11635808).

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

10983712 is a wasteful number, since it uses less digits than its factorization.

10983712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 10983712 is about 3314.1683723070. The cubic root of 10983712 is about 222.2881845666.

The spelling of 10983712 in words is "ten million, nine hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 47 67 94 109 134 188 218 268 376 436 536 752 872 1072 1504 1744 2144 3149 3488 5123 6298 7303 10246 12596 14606 20492 25192 29212 40984 50384 58424 81968 100768 116848 163936 233696 343241 686482 1372964 2745928 5491856 10983712