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21306474 = 232741729
BaseRepresentation
bin101000101000…
…1110001101010
31111002110222200
41101101301222
520423301344
62040401030
7346050000
oct121216152
944073880
1021306474
1111032962
127176176
13454cca7
142b88a70
151d0d069
hex1451c6a

21306474 has 120 divisors (see below), whose sum is σ = 58989060. Its totient is φ = 5531904.

The previous prime is 21306473. The next prime is 21306479. The reversal of 21306474 is 47460312.

21306474 is a `hidden beast` number, since 2 + 13 + 0 + 647 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20766249 + 540225 = 4557^2 + 735^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21306473) 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 59 ways as a sum of consecutive naturals, for example, 734692 + ... + 734720.

Almost surely, 221306474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21306474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494530).

21306474 is an abundant number, since it is smaller than the sum of its proper divisors (37682586).

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

21306474 is a wasteful number, since it uses less digits than its factorization.

21306474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 21306474 is about 4615.8936296236. The cubic root of 21306474 is about 277.2280657228.

Adding to 21306474 its reverse (47460312), we get a palindrome (68766786).

The spelling of 21306474 in words is "twenty-one million, three hundred six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 49 51 58 63 87 98 102 119 126 147 153 174 203 238 261 294 306 343 357 406 441 493 522 609 686 714 833 882 986 1029 1071 1218 1421 1479 1666 1827 2058 2142 2401 2499 2842 2958 3087 3451 3654 4263 4437 4802 4998 5831 6174 6902 7203 7497 8526 8874 9947 10353 11662 12789 14406 14994 17493 19894 20706 21609 24157 25578 29841 31059 34986 40817 43218 48314 52479 59682 62118 69629 72471 81634 89523 104958 122451 139258 144942 169099 179046 208887 217413 244902 338198 367353 417774 434826 507297 626661 734706 1014594 1183693 1253322 1521891 2367386 3043782 3551079 7102158 10653237 21306474