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19397040 = 2435136217
BaseRepresentation
bin100100111111…
…1100110110000
31100111110201220
41021333212300
514431201130
61531425040
7323605065
oct111774660
940443656
1019397040
11aa49313
1265b5180
134031b50
14280cc6c
151a82410
hex127f9b0

19397040 has 80 divisors (see below), whose sum is σ = 64766688. Its totient is φ = 4773888.

The previous prime is 19397011. The next prime is 19397047. The reversal of 19397040 is 4079391.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 19396992 and 19397010.

It is not an unprimeable number, because it can be changed into a prime (19397047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12 + ... + 6228.

Almost surely, 219397040 is an apocalyptic number.

19397040 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 19397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32383344).

19397040 is an abundant number, since it is smaller than the sum of its proper divisors (45369648).

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

19397040 is a wasteful number, since it uses less digits than its factorization.

19397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 19397040 is about 4404.2070796001. The cubic root of 19397040 is about 268.6860716882.

The spelling of 19397040 in words is "nineteen million, three hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6217 12434 18651 24868 31085 37302 49736 62170 74604 80821 93255 99472 124340 149208 161642 186510 242463 248680 298416 323284 373020 404105 484926 497360 646568 746040 808210 969852 1212315 1293136 1492080 1616420 1939704 2424630 3232840 3879408 4849260 6465680 9698520 19397040