Search a number
-
+
12350816 = 252397173
BaseRepresentation
bin101111000111…
…010101100000
3212020111010122
4233013111200
511130211231
61120415412
7206660132
oct57072540
925214118
1012350816
116a76395
124177568
13273589a
1418d7052
15113e77b
hexbc7560

12350816 has 48 divisors (see below), whose sum is σ = 25782624. Its totient is φ = 5812224.

The previous prime is 12350783. The next prime is 12350827. The reversal of 12350816 is 61805321.

12350816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 71306 + ... + 71478.

It is an arithmetic number, because the mean of its divisors is an integer number (537138).

Almost surely, 212350816 is an apocalyptic number.

12350816 is a gapful number since it is divisible by the number (16) 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 12350816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891312).

12350816 is an abundant number, since it is smaller than the sum of its proper divisors (13431808).

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

12350816 is a wasteful number, since it uses less digits than its factorization.

12350816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 12350816 is about 3514.3727747637. The cubic root of 12350816 is about 231.1524764332.

The spelling of 12350816 in words is "twelve million, three hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 97 173 184 194 346 368 388 692 736 776 1384 1552 2231 2768 3104 3979 4462 5536 7958 8924 15916 16781 17848 31832 33562 35696 63664 67124 71392 127328 134248 268496 385963 536992 771926 1543852 3087704 6175408 12350816