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19934016 = 263473
BaseRepresentation
bin100110000001…
…0101101000000
31101111202022220
41030002231000
520100342031
61551131040
7331302444
oct114025500
941452286
1019934016
11102857a3
126813a80
13418c39b
14290c824
151b3b596
hex1302b40

19934016 has 56 divisors (see below), whose sum is σ = 53888640. Its totient is φ = 6503296.

The previous prime is 19934003. The next prime is 19934039. The reversal of 19934016 is 61043991.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=188.

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, 424105 + ... + 424151.

Almost surely, 219934016 is an apocalyptic number.

19934016 is a gapful number since it is divisible by the number (16) 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 19934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26944320).

19934016 is an abundant number, since it is smaller than the sum of its proper divisors (33954624).

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

19934016 is an frugal number, since it uses more digits than its factorization.

19934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 19934016 is about 4464.7526247263. The cubic root of 19934016 is about 271.1429192178.

The spelling of 19934016 in words is "nineteen million, nine hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2209 2256 3008 4418 4512 6627 8836 9024 13254 17672 26508 35344 53016 70688 103823 106032 141376 207646 212064 311469 415292 424128 622938 830584 1245876 1661168 2491752 3322336 4983504 6644672 9967008 19934016