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16389400 = 2352192227
BaseRepresentation
bin111110100001…
…010100011000
31010211200000211
4332201110120
513143430100
61343140504
7256210336
oct76412430
933750024
1016389400
119284665
1255a4734
13351ab91
142268b56
15168b1ba
hexfa1518

16389400 has 72 divisors (see below), whose sum is σ = 40393620. Its totient is φ = 6183360.

The previous prime is 16389383. The next prime is 16389403. The reversal of 16389400 is 498361.

It is a super-2 number, since 2×163894002 = 537224864720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16389403) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 72087 + ... + 72313.

Almost surely, 216389400 is an apocalyptic number.

16389400 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 16389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196810).

16389400 is an abundant number, since it is smaller than the sum of its proper divisors (24004220).

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

16389400 is a wasteful number, since it uses less digits than its factorization.

16389400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 16389400 is about 4048.3823930059. The cubic root of 16389400 is about 254.0120687840.

The spelling of 16389400 in words is "sixteen million, three hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 227 361 380 454 475 722 760 908 950 1135 1444 1805 1816 1900 2270 2888 3610 3800 4313 4540 5675 7220 8626 9025 9080 11350 14440 17252 18050 21565 22700 34504 36100 43130 45400 72200 81947 86260 107825 163894 172520 215650 327788 409735 431300 655576 819470 862600 1638940 2048675 3277880 4097350 8194700 16389400