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21263328 = 25321743101
BaseRepresentation
bin101000100011…
…1001111100000
31111000021210200
41101013033200
520420411303
62035425200
7345510132
oct121071740
944007720
1021263328
11110034a9
127155200
134536468
142b77052
151d003a3
hex14473e0

21263328 has 144 divisors (see below), whose sum is σ = 66162096. Its totient is φ = 6451200.

The previous prime is 21263309. The next prime is 21263353. The reversal of 21263328 is 82336212.

21263328 is a `hidden beast` number, since 2 + 1 + 2 + 633 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 210478 + ... + 210578.

It is an arithmetic number, because the mean of its divisors is an integer number (459459).

Almost surely, 221263328 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 21263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33081048).

21263328 is an abundant number, since it is smaller than the sum of its proper divisors (44898768).

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

21263328 is a wasteful number, since it uses less digits than its factorization.

21263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21263328 is about 4611.2176266145. The cubic root of 21263328 is about 277.0408086296.

The spelling of 21263328 in words is "twenty-one million, two hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 43 48 51 68 72 86 96 101 102 129 136 144 153 172 202 204 258 272 288 303 306 344 387 404 408 516 544 606 612 688 731 774 808 816 909 1032 1212 1224 1376 1462 1548 1616 1632 1717 1818 2064 2193 2424 2448 2924 3096 3232 3434 3636 4128 4343 4386 4848 4896 5151 5848 6192 6579 6868 7272 8686 8772 9696 10302 11696 12384 13029 13158 13736 14544 15453 17372 17544 20604 23392 26058 26316 27472 29088 30906 34744 35088 39087 41208 52116 52632 54944 61812 69488 70176 73831 78174 82416 104232 105264 123624 138976 147662 156348 164832 208464 210528 221493 247248 295324 312696 416928 442986 494496 590648 625392 664479 885972 1181296 1250784 1328958 1771944 2362592 2657916 3543888 5315832 7087776 10631664 21263328