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16390920 = 23357131979
BaseRepresentation
bin111110100001…
…101100001000
31010211202010010
4332201230020
513144002140
61343151520
7256214640
oct76415410
933752103
1016390920
119285817
1255a55a0
13351b790
142269520
15168b880
hexfa1b08

16390920 has 256 divisors, whose sum is σ = 64512000. Its totient is φ = 3234816.

The previous prime is 16390919. The next prime is 16390931. The reversal of 16390920 is 2909361.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 207441 + ... + 207519.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 216390920 is an apocalyptic number.

16390920 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 16390920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256000).

16390920 is an abundant number, since it is smaller than the sum of its proper divisors (48121080).

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

16390920 is a wasteful number, since it uses less digits than its factorization.

16390920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 16390920 is about 4048.5701179552. The cubic root of 16390920 is about 254.0199211441.

The spelling of 16390920 in words is "sixteen million, three hundred ninety thousand, nine hundred twenty".