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19913984 = 28107727
BaseRepresentation
bin100101111110…
…1110100000000
31101110201211222
41023331310000
520044221414
61550454212
7331160156
oct113756400
941421758
1019913984
1110271742
126804368
13418322c
1429053d6
151b3568e
hex12fdd00

19913984 has 36 divisors (see below), whose sum is σ = 40176864. Its totient is φ = 9850368.

The previous prime is 19913977. The next prime is 19913989. The reversal of 19913984 is 48931991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19913989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27029 + ... + 27755.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 219913984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

19913984 is an abundant number, since it is smaller than the sum of its proper divisors (20262880).

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

19913984 is an equidigital number, since it uses as much as digits as its factorization.

19913984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 836 counting only the distinct ones).

The product of its digits is 69984, while the sum is 44.

The square root of 19913984 is about 4462.5087114761. The cubic root of 19913984 is about 271.0520635437.

The spelling of 19913984 in words is "nineteen million, nine hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 727 856 1454 1712 2908 3424 5816 6848 11632 13696 23264 27392 46528 77789 93056 155578 186112 311156 622312 1244624 2489248 4978496 9956992 19913984