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16042400 = 2552111823
BaseRepresentation
bin111101001100…
…100110100000
31010012001000222
4331030212200
513101324100
61331502212
7253233563
oct75144640
933161028
1016042400
119067990
125457968
133428c5a
1421b84da
15161d485
hexf4c9a0

16042400 has 72 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 5830400.

The previous prime is 16042399. The next prime is 16042427. The reversal of 16042400 is 424061.

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 11 ways as a sum of consecutive naturals, for example, 7889 + ... + 9711.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 216042400 is an apocalyptic number.

16042400 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 16042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

16042400 is an abundant number, since it is smaller than the sum of its proper divisors (26704864).

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

16042400 is a wasteful number, since it uses less digits than its factorization.

16042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 16042400 is about 4005.2964933947. The cubic root of 16042400 is about 252.2065997024.

Adding to 16042400 its reverse (424061), we get a palindrome (16466461).

It can be divided in two parts, 1604 and 2400, that added together give a palindrome (4004).

The spelling of 16042400 in words is "sixteen million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 1823 2200 3646 4400 7292 8800 9115 14584 18230 20053 29168 36460 40106 45575 58336 72920 80212 91150 100265 145840 160424 182300 200530 291680 320848 364600 401060 501325 641696 729200 802120 1002650 1458400 1604240 2005300 3208480 4010600 8021200 16042400