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21303040 = 285111789
BaseRepresentation
bin101000101000…
…0111100000000
31111002022021111
41101100330000
520423144130
62040333104
7346033663
oct121207400
944068244
1021303040
1111030320
127174194
13454b565
142b876da
151d0c02a
hex1450f00

21303040 has 144 divisors (see below), whose sum is σ = 59603040. Its totient is φ = 7208960.

The previous prime is 21303031. The next prime is 21303041. The reversal of 21303040 is 4030312.

21303040 = T59 + T60 + ... + T503.

It is a self number, because there is not a number n which added to its sum of digits gives 21303040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239316 + ... + 239404.

It is an arithmetic number, because the mean of its divisors is an integer number (413910).

Almost surely, 221303040 is an apocalyptic number.

21303040 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 21303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29801520).

21303040 is an abundant number, since it is smaller than the sum of its proper divisors (38300000).

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

21303040 is a wasteful number, since it uses less digits than its factorization.

21303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 21303040 is about 4615.5216389916. The cubic root of 21303040 is about 277.2131711524.

Adding to 21303040 its reverse (4030312), we get a palindrome (25333352).

The spelling of 21303040 in words is "twenty-one million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 89 110 128 136 160 170 176 178 187 220 256 272 320 340 352 356 374 440 445 544 640 680 704 712 748 880 890 935 979 1088 1280 1360 1408 1424 1496 1513 1760 1780 1870 1958 2176 2720 2816 2848 2992 3026 3520 3560 3740 3916 4352 4895 5440 5696 5984 6052 7040 7120 7480 7565 7832 9790 10880 11392 11968 12104 14080 14240 14960 15130 15664 16643 19580 21760 22784 23936 24208 28480 29920 30260 31328 33286 39160 47872 48416 56960 59840 60520 62656 66572 78320 83215 96832 113920 119680 121040 125312 133144 156640 166430 193664 239360 242080 250624 266288 313280 332860 387328 484160 532576 626560 665720 968320 1065152 1253120 1331440 1936640 2130304 2662880 4260608 5325760 10651520 21303040