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16412416 = 28611051
BaseRepresentation
bin111110100110…
…111100000000
31010212211121021
4332212330000
513200144131
61343435224
7256334416
oct76467400
933784537
1016412416
11929a989
1255b5b14
1335284b7
1422732b6
151692e11
hexfa6f00

16412416 has 36 divisors (see below), whose sum is σ = 33329464. Its totient is φ = 8064000.

The previous prime is 16412413. The next prime is 16412419. The reversal of 16412416 is 61421461.

16412416 is digitally balanced in base 2, because in such base 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 (16412413) and next prime (16412419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16412413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15091 + ... + 16141.

Almost surely, 216412416 is an apocalyptic number.

16412416 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 16412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664732).

16412416 is an abundant number, since it is smaller than the sum of its proper divisors (16917048).

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

16412416 is an equidigital number, since it uses as much as digits as its factorization.

16412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1114 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 16412416 is about 4051.2240125671. The cubic root of 16412416 is about 254.1309181052.

Adding to 16412416 its reverse (61421461), we get a palindrome (77833877).

The spelling of 16412416 in words is "sixteen million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1051 1952 2102 3904 4204 7808 8408 15616 16816 33632 64111 67264 128222 134528 256444 269056 512888 1025776 2051552 4103104 8206208 16412416