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12816032 = 2519107197
BaseRepresentation
bin110000111000…
…111010100000
3220010010021212
4300320322200
511240103112
61134405252
7213635345
oct60707240
926103255
1012816032
117263969
124360828
132869568
1419b87cc
1511d2522
hexc38ea0

12816032 has 48 divisors (see below), whose sum is σ = 26943840. Its totient is φ = 5983488.

The previous prime is 12816029. The next prime is 12816043. The reversal of 12816032 is 23061821.

It is a junction number, because it is equal to n+sod(n) for n = 12815989 and 12816007.

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, 64958 + ... + 65154.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 212816032 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 12816032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471920).

12816032 is an abundant number, since it is smaller than the sum of its proper divisors (14127808).

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

12816032 is a wasteful number, since it uses less digits than its factorization.

12816032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 12816032 is about 3579.9486029830. The cubic root of 12816032 is about 234.0190405039.

Adding to 12816032 its reverse (23061821), we get a palindrome (35877853).

The spelling of 12816032 in words is "twelve million, eight hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 197 214 304 394 428 608 788 856 1576 1712 2033 3152 3424 3743 4066 6304 7486 8132 14972 16264 21079 29944 32528 42158 59888 65056 84316 119776 168632 337264 400501 674528 801002 1602004 3204008 6408016 12816032