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30206016 = 26322292
BaseRepresentation
bin111001100111…
…0100001000000
32002211121212100
41303032201000
530213043031
62555230400
7514514121
oct163164100
962747770
1030206016
1116061255
12a148400
1363479a9
144024048
1529b9de6
hex1cce840

30206016 has 63 divisors (see below), whose sum is σ = 86959821. Its totient is φ = 10024704.

The previous prime is 30206009. The next prime is 30206039. The reversal of 30206016 is 61060203.

It is a happy number.

The square root of 30206016 is 5496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28132416 + 2073600 = 5304^2 + 1440^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30206016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131790 + ... + 132018.

Almost surely, 230206016 is an apocalyptic number.

30206016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30206016 is the 5496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30206016

30206016 is an abundant number, since it is smaller than the sum of its proper divisors (56753805).

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

30206016 is an equidigital number, since it uses as much as digits as its factorization.

30206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 30206016 is about 311.4328948783.

Adding to 30206016 its reverse (61060203), we get a palindrome (91266219).

The spelling of 30206016 in words is "thirty million, two hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 229 288 458 576 687 916 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 14656 16488 21984 32976 43968 52441 65952 104882 131904 157323 209764 314646 419528 471969 629292 839056 943938 1258584 1678112 1887876 2517168 3356224 3775752 5034336 7551504 10068672 15103008 30206016