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16080400 = 245275743
BaseRepresentation
bin111101010101…
…111000010000
31010020222011101
4331111320100
513104033100
61332354144
7253452430
oct75257020
933228141
1016080400
119093496
125475954
13344033b
1421c82c0
15162986a
hexf55e10

16080400 has 60 divisors (see below), whose sum is σ = 44159872. Its totient is φ = 5512320.

The previous prime is 16080397. The next prime is 16080401. The reversal of 16080400 is 408061.

16080400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16080401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72 + ... + 5671.

Almost surely, 216080400 is an apocalyptic number.

16080400 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 16080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22079936).

16080400 is an abundant number, since it is smaller than the sum of its proper divisors (28079472).

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

16080400 is a wasteful number, since it uses less digits than its factorization.

16080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 16080400 is about 4010.0374063093. The cubic root of 16080400 is about 252.4055785245.

Adding to 16080400 its reverse (408061), we get a palindrome (16488461).

The spelling of 16080400 in words is "sixteen million, eighty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 5743 11486 22972 28715 40201 45944 57430 80402 91888 114860 143575 160804 201005 229720 287150 321608 402010 459440 574300 643216 804020 1005025 1148600 1608040 2010050 2297200 3216080 4020100 8040200 16080400