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18620416 = 2132273
BaseRepresentation
bin100011100001…
…0000000000000
31022001000102001
41013002000000
514231323131
61503033344
7314161633
oct107020000
938030361
1018620416
11a568881
12629b854
133b1c4c9
142689c1a
15197c261
hex11c2000

18620416 has 28 divisors (see below), whose sum is σ = 37254942. Its totient is φ = 9306112.

The previous prime is 18620387. The next prime is 18620417. The reversal of 18620416 is 61402681.

It can be written as a sum of positive squares in only one way, i.e., 12390400 + 6230016 = 3520^2 + 2496^2 .

It is not an unprimeable number, because it can be changed into a prime (18620417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7056 + ... + 9328.

Almost surely, 218620416 is an apocalyptic number.

18620416 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 18620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627471).

18620416 is an abundant number, since it is smaller than the sum of its proper divisors (18634526).

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

18620416 is an frugal number, since it uses more digits than its factorization.

18620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 18620416 is about 4315.1380047456. The cubic root of 18620416 is about 265.0512111779.

It can be divided in two parts, 186 and 20416, that added together give a palindrome (20602).

The spelling of 18620416 in words is "eighteen million, six hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2273 4096 4546 8192 9092 18184 36368 72736 145472 290944 581888 1163776 2327552 4655104 9310208 18620416