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16068400 = 2452172139
BaseRepresentation
bin111101010010…
…111100110000
31010020100200221
4331102330300
513103142100
61332222424
7253402435
oct75227460
933210627
1016068400
119085477
12546aa14
133437a3a
1421c3b8c
15162601a
hexf52f30

16068400 has 90 divisors (see below), whose sum is σ = 41303780. Its totient is φ = 6005760.

The previous prime is 16068391. The next prime is 16068401. The reversal of 16068400 is 486061.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (16068401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115531 + ... + 115669.

Almost surely, 216068400 is an apocalyptic number.

16068400 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 16068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651890).

16068400 is an abundant number, since it is smaller than the sum of its proper divisors (25235380).

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

16068400 is a wasteful number, since it uses less digits than its factorization.

16068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 16068400 is about 4008.5408816675. The cubic root of 16068400 is about 252.3427770046.

The spelling of 16068400 in words is "sixteen million, sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 139 170 200 272 278 289 340 400 425 556 578 680 695 850 1112 1156 1360 1390 1445 1700 2224 2312 2363 2780 2890 3400 3475 4624 4726 5560 5780 6800 6950 7225 9452 11120 11560 11815 13900 14450 18904 23120 23630 27800 28900 37808 40171 47260 55600 57800 59075 80342 94520 115600 118150 160684 189040 200855 236300 321368 401710 472600 642736 803420 945200 1004275 1606840 2008550 3213680 4017100 8034200 16068400