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19870848 = 273247367
BaseRepresentation
bin100101111001…
…1010010000000
31101101112200100
41023303102000
520041331343
61545522400
7330620334
oct113632200
941345610
1019870848
1110242298
1267a3400
1341696ca
1428d37c4
151b279d3
hex12f3480

19870848 has 96 divisors (see below), whose sum is σ = 58556160. Its totient is φ = 6465024.

The previous prime is 19870847. The next prime is 19870867. The reversal of 19870848 is 84807891.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (19870847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53961 + ... + 54327.

It is an arithmetic number, because the mean of its divisors is an integer number (609960).

Almost surely, 219870848 is an apocalyptic number.

19870848 is a gapful number since it is divisible by the number (18) 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 19870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278080).

19870848 is an abundant number, since it is smaller than the sum of its proper divisors (38685312).

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

19870848 is a wasteful number, since it uses less digits than its factorization.

19870848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 19870848 is about 4457.6729355124. The cubic root of 19870848 is about 270.8562119897.

The spelling of 19870848 in words is "nineteen million, eight hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 367 376 384 423 564 576 734 752 846 1101 1128 1152 1468 1504 1692 2202 2256 2936 3008 3303 3384 4404 4512 5872 6016 6606 6768 8808 9024 11744 13212 13536 17249 17616 18048 23488 26424 27072 34498 35232 46976 51747 52848 54144 68996 70464 103494 105696 137992 140928 155241 206988 211392 275984 310482 413976 422784 551968 620964 827952 1103936 1241928 1655904 2207872 2483856 3311808 4967712 6623616 9935424 19870848