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16042320 = 2433571061
BaseRepresentation
bin111101001100…
…100101010000
31010012000221000
4331030211100
513101323240
61331502000
7253233420
oct75144520
933160830
1016042320
119067918
125457900
133428bc8
1421b8480
15161d430
hexf4c950

16042320 has 160 divisors (see below), whose sum is σ = 63210240. Its totient is φ = 3663360.

The previous prime is 16042319. The next prime is 16042337. The reversal of 16042320 is 2324061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16042293 and 16042302.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14590 + ... + 15650.

It is an arithmetic number, because the mean of its divisors is an integer number (395064).

Almost surely, 216042320 is an apocalyptic number.

16042320 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 16042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31605120).

16042320 is an abundant number, since it is smaller than the sum of its proper divisors (47167920).

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

16042320 is a wasteful number, since it uses less digits than its factorization.

16042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 16042320 is about 4005.2865066060. The cubic root of 16042320 is about 252.2061804683.

Adding to 16042320 its reverse (2324061), we get a palindrome (18366381).

The spelling of 16042320 in words is "sixteen million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1061 1080 1260 1512 1680 1890 2122 2160 2520 3024 3183 3780 4244 5040 5305 6366 7427 7560 8488 9549 10610 12732 14854 15120 15915 16976 19098 21220 22281 25464 28647 29708 31830 37135 38196 42440 44562 47745 50928 57294 59416 63660 66843 74270 76392 84880 89124 95490 111405 114588 118832 127320 133686 143235 148540 152784 178248 190980 200529 222810 229176 254640 267372 286470 297080 334215 356496 381960 401058 445620 458352 534744 572940 594160 668430 763920 802116 891240 1002645 1069488 1145880 1336860 1604232 1782480 2005290 2291760 2673720 3208464 4010580 5347440 8021160 16042320