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21491200 = 29522373
BaseRepresentation
bin101000111111…
…0111000000000
31111102212101101
41101332320000
521000204300
62044344144
7350446363
oct121767000
944385341
1021491200
1111149725
127245054
1345b60b3
142bd60da
151d47b6a
hex147ee00

21491200 has 120 divisors (see below), whose sum is σ = 56322288. Its totient is φ = 8110080.

The previous prime is 21491189. The next prime is 21491201. The reversal of 21491200 is 219412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21491201) 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 11 ways as a sum of consecutive naturals, for example, 294364 + ... + 294436.

Almost surely, 221491200 is an apocalyptic number.

21491200 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 21491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161144).

21491200 is an abundant number, since it is smaller than the sum of its proper divisors (34831088).

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

21491200 is an equidigital number, since it uses as much as digits as its factorization.

21491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 21491200 is about 4635.8602222241. The cubic root of 21491200 is about 278.0269456138.

The spelling of 21491200 in words is "twenty-one million, four hundred ninety-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 73 80 92 100 115 128 146 160 184 200 230 256 292 320 365 368 400 460 512 575 584 640 730 736 800 920 1150 1168 1280 1460 1472 1600 1679 1825 1840 2300 2336 2560 2920 2944 3200 3358 3650 3680 4600 4672 5840 5888 6400 6716 7300 7360 8395 9200 9344 11680 11776 12800 13432 14600 14720 16790 18400 18688 23360 26864 29200 29440 33580 36800 37376 41975 46720 53728 58400 58880 67160 73600 83950 93440 107456 116800 134320 147200 167900 186880 214912 233600 268640 294400 335800 429824 467200 537280 671600 859648 934400 1074560 1343200 2149120 2686400 4298240 5372800 10745600 21491200