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19214720 = 27574289
BaseRepresentation
bin100100101001…
…1000110000000
31100011012122022
41021103012000
514404332340
61523501012
7322215410
oct111230600
940135568
1019214720
11a934338
126527768
133c99b75
1427a2640
151a483b5
hex1253180

19214720 has 64 divisors (see below), whose sum is σ = 52509600. Its totient is φ = 6586368.

The previous prime is 19214711. The next prime is 19214731. The reversal of 19214720 is 2741291.

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 19214720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2336 + ... + 6624.

Almost surely, 219214720 is an apocalyptic number.

19214720 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 19214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254800).

19214720 is an abundant number, since it is smaller than the sum of its proper divisors (33294880).

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

19214720 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (19214721) it forms an eRAP, since the sums of their prime factors are consecutive (4315 and 4316).

19214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 19214720 is about 4383.4598207352. The cubic root of 19214720 is about 267.8415934762.

The spelling of 19214720 in words is "nineteen million, two hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4289 4480 8578 17156 21445 30023 34312 42890 60046 68624 85780 120092 137248 150115 171560 240184 274496 300230 343120 480368 548992 600460 686240 960736 1200920 1372480 1921472 2401840 2744960 3842944 4803680 9607360 19214720