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104040416 = 256734831
BaseRepresentation
bin1100011001110…
…00011111100000
321020202210121202
412030320133200
5203113243131
614153540332
72402220554
oct614703740
9236683552
10104040416
1153801117
122aa146a8
131872989c
14db63864
159201bcb
hex63387e0

104040416 has 24 divisors (see below), whose sum is σ = 205176384. Its totient is φ = 51932160.

The previous prime is 104040401. The next prime is 104040439. The reversal of 104040416 is 614040401.

It is a happy number.

It is a super-3 number, since 3×1040404163 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19121 + ... + 23951.

It is an arithmetic number, because the mean of its divisors is an integer number (8549016).

Almost surely, 2104040416 is an apocalyptic number.

104040416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104040416 is a deficient number, since it is larger than the sum of its proper divisors (101135968).

104040416 is an equidigital number, since it uses as much as digits as its factorization.

104040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 104040416 is about 10200.0203921365. The cubic root of 104040416 is about 470.3278473103.

Adding to 104040416 its reverse (614040401), we get a palindrome (718080817).

The spelling of 104040416 in words is "one hundred four million, forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 673 1346 2692 4831 5384 9662 10768 19324 21536 38648 77296 154592 3251263 6502526 13005052 26010104 52020208 104040416