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18820416 = 263831181
BaseRepresentation
bin100011111001…
…0110101000000
31022102011202110
41013302311000
514304223131
61511215320
7315654006
oct107626500
938364673
1018820416
11a69506a
126377540
133b8c554
1426dca76
1519bb646
hex11f2d40

18820416 has 56 divisors (see below), whose sum is σ = 50438304. Its totient is φ = 6192640.

The previous prime is 18820397. The next prime is 18820421. The reversal of 18820416 is 61402881.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15346 + ... + 16526.

It is an arithmetic number, because the mean of its divisors is an integer number (900684).

Almost surely, 218820416 is an apocalyptic number.

18820416 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 18820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25219152).

18820416 is an abundant number, since it is smaller than the sum of its proper divisors (31617888).

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

18820416 is a wasteful number, since it uses less digits than its factorization.

18820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 18820416 is about 4338.2503385582. The cubic root of 18820416 is about 265.9967964640.

The spelling of 18820416 in words is "eighteen million, eight hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1181 1328 1992 2362 2656 3543 3984 4724 5312 7086 7968 9448 14172 15936 18896 28344 37792 56688 75584 98023 113376 196046 226752 294069 392092 588138 784184 1176276 1568368 2352552 3136736 4705104 6273472 9410208 18820416