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12352116 = 223733001
BaseRepresentation
bin101111000111…
…101001110100
3212020112220210
4233013221310
511130231431
61120425420
7206664000
oct57075164
925215823
1012352116
116a77367
124178270
13273635a
1418d7700
15113ed46
hexbc7a74

12352116 has 48 divisors (see below), whose sum is σ = 33622400. Its totient is φ = 3528000.

The previous prime is 12352103. The next prime is 12352141. The reversal of 12352116 is 61125321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12352092 and 12352101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616 + ... + 5616.

Almost surely, 212352116 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 12352116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811200).

12352116 is an abundant number, since it is smaller than the sum of its proper divisors (21270284).

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

12352116 is a wasteful number, since it uses less digits than its factorization.

12352116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3013 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 12352116 is about 3514.5577246647. The cubic root of 12352116 is about 231.1605862260.

Adding to 12352116 its reverse (61125321), we get a palindrome (73477437).

The spelling of 12352116 in words is "twelve million, three hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 3001 4116 6002 9003 12004 18006 21007 36012 42014 63021 84028 126042 147049 252084 294098 441147 588196 882294 1029343 1764588 2058686 3088029 4117372 6176058 12352116