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19840016 = 247473769
BaseRepresentation
bin100101110101…
…1110000010000
31101022222101102
41023223300100
520034340031
61545123532
7330431420
oct113536020
941288342
1019840016
1110221109
1267895a8
134158671
1428c6480
151b1d7cb
hex12ebc10

19840016 has 40 divisors (see below), whose sum is σ = 44878080. Its totient is φ = 8319744.

The previous prime is 19839997. The next prime is 19840019. The reversal of 19840016 is 61004891.

19840016 = 1792 + 1802 + ... + 4022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19840019) by changing a digit.

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, 3380 + ... + 7148.

It is an arithmetic number, because the mean of its divisors is an integer number (1121952).

Almost surely, 219840016 is an apocalyptic number.

19840016 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 19840016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439040).

19840016 is an abundant number, since it is smaller than the sum of its proper divisors (25038064).

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

19840016 is a wasteful number, since it uses less digits than its factorization.

19840016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 19840016 is about 4454.2132863167. The cubic root of 19840016 is about 270.7160508574.

The spelling of 19840016 in words is "nineteen million, eight hundred forty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 3769 5264 7538 15076 26383 30152 52766 60304 105532 177143 211064 354286 422128 708572 1240001 1417144 2480002 2834288 4960004 9920008 19840016