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19934208 = 210337103
BaseRepresentation
bin100110000001…
…0110000000000
31101111202121000
41030002300000
520100343313
61551132000
7331303140
oct114026000
941452530
1019934208
1110285958
126814000
13418c4b8
14290c920
151b3b673
hex1302c00

19934208 has 176 divisors, whose sum is σ = 68124160. Its totient is φ = 5640192.

The previous prime is 19934197. The next prime is 19934267. The reversal of 19934208 is 80243991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193485 + ... + 193587.

Almost surely, 219934208 is an apocalyptic number.

19934208 is a gapful number since it is divisible by the number (18) 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 19934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34062080).

19934208 is an abundant number, since it is smaller than the sum of its proper divisors (48189952).

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

19934208 is a wasteful number, since it uses less digits than its factorization.

19934208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19934208 is about 4464.7741264257. The cubic root of 19934208 is about 271.1437897444.

The spelling of 19934208 in words is "nineteen million, nine hundred thirty-four thousand, two hundred eight".