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21335328 = 2532719557
BaseRepresentation
bin101000101100…
…0110100100000
31111010221120100
41101120310200
520430212303
62041142400
7346230060
oct121306440
944127510
1021335328
1111052603
12718aa00
134560171
142b953a0
151d168a3
hex1458d20

21335328 has 144 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 5764608.

The previous prime is 21335311. The next prime is 21335339. The reversal of 21335328 is 82353312.

21335328 is a `hidden beast` number, since 2 + 1 + 335 + 328 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38026 + ... + 38582.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 221335328 is an apocalyptic number.

21335328 is a gapful number since it is divisible by the number (28) 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 21335328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

21335328 is an abundant number, since it is smaller than the sum of its proper divisors (51784992).

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

21335328 is a wasteful number, since it uses less digits than its factorization.

21335328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 21335328 is about 4619.0180774706. The cubic root of 21335328 is about 277.3531533748.

The spelling of 21335328 in words is "twenty-one million, three hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 557 608 672 684 798 912 1008 1064 1114 1197 1368 1596 1671 1824 2016 2128 2228 2394 2736 3192 3342 3899 4256 4456 4788 5013 5472 6384 6684 7798 8912 9576 10026 10583 11697 12768 13368 15596 17824 19152 20052 21166 23394 26736 31192 31749 35091 38304 40104 42332 46788 53472 62384 63498 70182 74081 80208 84664 93576 95247 124768 126996 140364 148162 160416 169328 187152 190494 222243 253992 280728 296324 338656 374304 380988 444486 507984 561456 592648 666729 761976 888972 1015968 1122912 1185296 1333458 1523952 1777944 2370592 2666916 3047904 3555888 5333832 7111776 10667664 21335328