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19414240 = 255711709
BaseRepresentation
bin100101000001…
…1110011100000
31100112100022221
41022003303200
514432223430
61532040424
7324006166
oct112036340
940470287
1019414240
11aa6022a
126603114
134039921
142815236
151a8757a
hex1283ce0

19414240 has 48 divisors (see below), whose sum is σ = 46539360. Its totient is φ = 7651840.

The previous prime is 19414223. The next prime is 19414247. The reversal of 19414240 is 4241491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19414247) 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, 10506 + ... + 12214.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 219414240 is an apocalyptic number.

19414240 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 19414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23269680).

19414240 is an abundant number, since it is smaller than the sum of its proper divisors (27125120).

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

19414240 is a wasteful number, since it uses less digits than its factorization.

19414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 19414240 is about 4406.1593253082. The cubic root of 19414240 is about 268.7654658487.

The spelling of 19414240 in words is "nineteen million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 1709 2272 2840 3418 5680 6836 8545 11360 13672 17090 27344 34180 54688 68360 121339 136720 242678 273440 485356 606695 970712 1213390 1941424 2426780 3882848 4853560 9707120 19414240