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19880000 = 2654771
BaseRepresentation
bin100101111010…
…1100001000000
31101102000020022
41023311201000
520042130000
61550033012
7330656120
oct113654100
941360208
1019880000
1110249158
1267a8768
13417091a
1428d6c80
151b2a585
hex12f5840

19880000 has 140 divisors (see below), whose sum is σ = 57131712. Its totient is φ = 6720000.

The previous prime is 19879997. The next prime is 19880011. The reversal of 19880000 is 8891.

It is a tau number, because it is divible by the number of its divisors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279965 + ... + 280035.

Almost surely, 219880000 is an apocalyptic number.

19880000 is a gapful number since it is divisible by the number (10) 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 19880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28565856).

19880000 is an abundant number, since it is smaller than the sum of its proper divisors (37251712).

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

19880000 is an frugal number, since it uses more digits than its factorization.

19880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 19880000 is about 4458.6993619216. The cubic root of 19880000 is about 270.8977887354.

Adding to 19880000 its reverse (8891), we get a palindrome (19888891).

The spelling of 19880000 in words is "nineteen million, eight hundred eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 71 80 100 112 125 140 142 160 175 200 224 250 280 284 320 350 355 400 448 497 500 560 568 625 700 710 800 875 994 1000 1120 1136 1250 1400 1420 1600 1750 1775 1988 2000 2240 2272 2485 2500 2800 2840 3500 3550 3976 4000 4375 4544 4970 5000 5600 5680 7000 7100 7952 8000 8750 8875 9940 10000 11200 11360 12425 14000 14200 15904 17500 17750 19880 20000 22720 24850 28000 28400 31808 35000 35500 39760 40000 44375 49700 56000 56800 62125 70000 71000 79520 88750 99400 113600 124250 140000 142000 159040 177500 198800 248500 280000 284000 310625 355000 397600 497000 568000 621250 710000 795200 994000 1242500 1420000 1988000 2485000 2840000 3976000 4970000 9940000 19880000