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21384160 = 255761313
BaseRepresentation
bin101000110010…
…0101111100000
31111020102112221
41101210233200
520433243120
62042200424
7346522330
oct121445740
944212487
1021384160
1111086266
1271b3114
134579465
142ba90c0
151d260aa
hex1464be0

21384160 has 96 divisors (see below), whose sum is σ = 58871232. Its totient is φ = 7188480.

The previous prime is 21384151. The next prime is 21384161. The reversal of 21384160 is 6148312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21384161) 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 15 ways as a sum of consecutive naturals, for example, 68164 + ... + 68476.

It is an arithmetic number, because the mean of its divisors is an integer number (613242).

Almost surely, 221384160 is an apocalyptic number.

21384160 is a gapful number since it is divisible by the number (20) 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 21384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29435616).

21384160 is an abundant number, since it is smaller than the sum of its proper divisors (37487072).

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

21384160 is a wasteful number, since it uses less digits than its factorization.

21384160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

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

The square root of 21384160 is about 4624.3010282636. The cubic root of 21384160 is about 277.5645928149.

The spelling of 21384160 in words is "twenty-one million, three hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 224 244 280 305 313 427 488 560 610 626 854 976 1120 1220 1252 1565 1708 1952 2135 2191 2440 2504 3130 3416 4270 4382 4880 5008 6260 6832 8540 8764 9760 10016 10955 12520 13664 17080 17528 19093 21910 25040 34160 35056 38186 43820 50080 68320 70112 76372 87640 95465 133651 152744 175280 190930 267302 305488 350560 381860 534604 610976 668255 763720 1069208 1336510 1527440 2138416 2673020 3054880 4276832 5346040 10692080 21384160