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16390080 = 263357271
BaseRepresentation
bin111110100001…
…011111000000
31010211200222000
4332201133000
513143440310
61343144000
7256212330
oct76413700
933750860
1016390080
119285123
1255a5000
13351b295
1422690c0
15168b4c0
hexfa17c0

16390080 has 224 divisors, whose sum is σ = 66324480. Its totient is φ = 3732480.

The previous prime is 16390079. The next prime is 16390097. The reversal of 16390080 is 8009361.

16390080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60345 + ... + 60615.

Almost surely, 216390080 is an apocalyptic number.

16390080 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 16390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162240).

16390080 is an abundant number, since it is smaller than the sum of its proper divisors (49934400).

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

16390080 is a wasteful number, since it uses less digits than its factorization.

16390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16390080 is about 4048.4663762961. The cubic root of 16390080 is about 254.0155817419.

The spelling of 16390080 in words is "sixteen million, three hundred ninety thousand, eighty".