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21380352 = 28374197
BaseRepresentation
bin101000110001…
…1110100000000
31111020020022220
41101203310000
520433132402
62042131040
7346505250
oct121436400
944206286
1021380352
1111083414
1271b0a80
1345777c6
142ba7960
151d24dbc
hex1463d00

21380352 has 144 divisors (see below), whose sum is σ = 67304832. Its totient is φ = 5898240.

The previous prime is 21380341. The next prime is 21380369. The reversal of 21380352 is 25308312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220368 + ... + 220464.

Almost surely, 221380352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33652416).

21380352 is an abundant number, since it is smaller than the sum of its proper divisors (45924480).

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

21380352 is an equidigital number, since it uses as much as digits as its factorization.

21380352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 21380352 is about 4623.8892720306. The cubic root of 21380352 is about 277.5481159972.

Adding to 21380352 its reverse (25308312), we get a palindrome (46688664).

The spelling of 21380352 in words is "twenty-one million, three hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 97 112 123 128 164 168 192 194 224 246 256 287 291 328 336 384 388 448 492 574 582 656 672 679 768 776 861 896 984 1148 1164 1312 1344 1358 1552 1722 1792 1968 2037 2296 2328 2624 2688 2716 3104 3444 3936 3977 4074 4592 4656 5248 5376 5432 6208 6888 7872 7954 8148 9184 9312 10496 10864 11931 12416 13776 15744 15908 16296 18368 18624 21728 23862 24832 27552 27839 31488 31816 32592 36736 37248 43456 47724 55104 55678 63632 65184 73472 74496 83517 86912 95448 110208 111356 127264 130368 167034 173824 190896 220416 222712 254528 260736 334068 381792 445424 509056 521472 668136 763584 890848 1018112 1336272 1527168 1781696 2672544 3054336 3563392 5345088 7126784 10690176 21380352