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19996080 = 24351321729
BaseRepresentation
bin100110001000…
…1110110110000
31101121220110120
41030101312300
520104333310
61552330240
7331651416
oct114216660
941556416
1019996080
1110318395
126843980
1341b1700
1429272b6
151b4eb70
hex1311db0

19996080 has 240 divisors, whose sum is σ = 73522080. Its totient is φ = 4472832.

The previous prime is 19996073. The next prime is 19996099. The reversal of 19996080 is 8069991.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689506 + ... + 689534.

It is an arithmetic number, because the mean of its divisors is an integer number (306342).

Almost surely, 219996080 is an apocalyptic number.

19996080 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 19996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36761040).

19996080 is an abundant number, since it is smaller than the sum of its proper divisors (53526000).

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

19996080 is a wasteful number, since it uses less digits than its factorization.

19996080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 19996080 is about 4471.6976641987. The cubic root of 19996080 is about 271.4240263056.

The spelling of 19996080 in words is "nineteen million, nine hundred ninety-six thousand, eighty".