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19890304 = 27779281
BaseRepresentation
bin100101111100…
…0000010000000
31101102112100221
41023320002000
520042442204
61550152424
7331031140
oct113700200
941375327
1019890304
1110255975
1267b2714
134175515
1428da920
151b2d654
hex12f8080

19890304 has 64 divisors (see below), whose sum is σ = 46022400. Its totient is φ = 8386560.

The previous prime is 19890293. The next prime is 19890307. The reversal of 19890304 is 40309891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 19890304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19890307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70644 + ... + 70924.

It is an arithmetic number, because the mean of its divisors is an integer number (719100).

Almost surely, 219890304 is an apocalyptic number.

19890304 is a gapful number since it is divisible by the number (14) 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 19890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011200).

19890304 is an abundant number, since it is smaller than the sum of its proper divisors (26132096).

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

19890304 is an equidigital number, since it uses as much as digits as its factorization.

19890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 19890304 is about 4459.8547061536. The cubic root of 19890304 is about 270.9445836498.

The spelling of 19890304 in words is "nineteen million, eight hundred ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 281 316 448 553 562 632 896 1106 1124 1264 1967 2212 2248 2528 3934 4424 4496 5056 7868 8848 8992 10112 15736 17696 17984 22199 31472 35392 35968 44398 62944 70784 88796 125888 155393 177592 251776 310786 355184 621572 710368 1243144 1420736 2486288 2841472 4972576 9945152 19890304