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21303975 = 35272111731
BaseRepresentation
bin101000101000…
…1001010100111
31111002100120010
41101101022213
520423211400
62040341303
7346036500
oct121211247
944070503
1021303975
1111030aa0
127174833
13454bb04
142b87ba7
151d0c450
hex14512a7

21303975 has 144 divisors (see below), whose sum is σ = 48854016. Its totient is φ = 8064000.

The previous prime is 21303973. The next prime is 21303979. The reversal of 21303975 is 57930312.

21303975 = T169 + T170 + ... + T509.

It is not a de Polignac number, because 21303975 - 21 = 21303973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303973) 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 143 ways as a sum of consecutive naturals, for example, 687210 + ... + 687240.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 221303975 is an apocalyptic number.

21303975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21303975 is an abundant number, since it is smaller than the sum of its proper divisors (27550041).

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

21303975 is a wasteful number, since it uses less digits than its factorization.

21303975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 21303975 is about 4615.6229265398. The cubic root of 21303975 is about 277.2172267633.

It can be divided in two parts, 2130 and 3975, that added together give a triangular number (6105 = T110).

The spelling of 21303975 in words is "twenty-one million, three hundred three thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 11 15 17 21 25 31 33 35 49 51 55 75 77 85 93 105 119 147 155 165 175 187 217 231 245 255 275 341 357 385 425 465 525 527 539 561 595 651 735 775 825 833 935 1023 1085 1155 1225 1275 1309 1519 1581 1617 1705 1785 1925 2325 2387 2499 2635 2695 2805 2975 3255 3675 3689 3927 4165 4557 4675 5115 5425 5775 5797 6545 7161 7595 7905 8085 8525 8925 9163 11067 11935 12495 13175 13475 14025 16275 16709 17391 18445 19635 20825 22785 25575 25823 27489 28985 32725 35805 37975 39525 40425 40579 45815 50127 55335 59675 62475 77469 83545 86955 92225 98175 113925 121737 129115 137445 144925 179025 202895 229075 250635 276675 284053 387345 417725 434775 608685 645575 687225 852159 1014475 1253175 1420265 1936725 3043425 4260795 7101325 21303975