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21297540 = 22351123261
BaseRepresentation
bin101000100111…
…1100110000100
31111002000201210
41101033212010
520423010130
62040251420
7346011645
oct121174604
944060653
1021297540
1111027180
127170b70
134548bc4
142b856cc
151d0a5b0
hex144f984

21297540 has 144 divisors (see below), whose sum is σ = 69120576. Its totient is φ = 4857600.

The previous prime is 21297539. The next prime is 21297541. The reversal of 21297540 is 4579212.

It is an interprime number because it is at equal distance from previous prime (21297539) and next prime (21297541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21297498 and 21297507.

It is not an unprimeable number, because it can be changed into a prime (21297541) 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 47 ways as a sum of consecutive naturals, for example, 349110 + ... + 349170.

It is an arithmetic number, because the mean of its divisors is an integer number (480004).

Almost surely, 221297540 is an apocalyptic number.

21297540 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 21297540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560288).

21297540 is an abundant number, since it is smaller than the sum of its proper divisors (47823036).

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

21297540 is a wasteful number, since it uses less digits than its factorization.

21297540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 21297540 is about 4614.9257848854. The cubic root of 21297540 is about 277.1893122153.

It can be divided in two parts, 2129 and 7540, that added together give a palindrome (9669).

The spelling of 21297540 in words is "twenty-one million, two hundred ninety-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 61 66 69 92 110 115 122 132 138 165 183 220 230 244 253 276 305 330 345 366 460 506 529 610 660 671 690 732 759 915 1012 1058 1220 1265 1342 1380 1403 1518 1587 1830 2013 2116 2530 2645 2684 2806 3036 3174 3355 3660 3795 4026 4209 5060 5290 5612 5819 6348 6710 7015 7590 7935 8052 8418 10065 10580 11638 13420 14030 15180 15433 15870 16836 17457 20130 21045 23276 28060 29095 30866 31740 32269 34914 40260 42090 46299 58190 61732 64538 69828 77165 84180 87285 92598 96807 116380 129076 154330 161345 174570 185196 193614 231495 308660 322690 349140 354959 387228 462990 484035 645380 709918 925980 968070 1064877 1419836 1774795 1936140 2129754 3549590 4259508 5324385 7099180 10648770 21297540