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21432780 = 223252331167
BaseRepresentation
bin101000111000…
…0100111001100
31111022220020200
41101300213030
520441322110
62043213500
7350114145
oct121604714
944286220
1021432780
1111109846
127217290
134595625
142bbcacc
151d356c0
hex14709cc

21432780 has 144 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 5258880.

The previous prime is 21432751. The next prime is 21432781. The reversal of 21432780 is 8723412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21432781) 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, 128257 + ... + 128423.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 221432780 is an apocalyptic number.

21432780 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 21432780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

21432780 is an abundant number, since it is smaller than the sum of its proper divisors (49014324).

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

21432780 is a wasteful number, since it uses less digits than its factorization.

21432780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 21432780 is about 4629.5550542142. Note that the first 3 decimals coincide. The cubic root of 21432780 is about 277.7747947532.

The spelling of 21432780 in words is "twenty-one million, four hundred thirty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 167 180 186 207 230 276 279 310 334 345 372 414 460 465 501 558 620 668 690 713 828 835 930 1002 1035 1116 1380 1395 1426 1503 1670 1860 2004 2070 2139 2505 2790 2852 3006 3340 3565 3841 4140 4278 5010 5177 5580 6012 6417 7130 7515 7682 8556 10020 10354 10695 11523 12834 14260 15030 15364 15531 19205 20708 21390 23046 25668 25885 30060 31062 32085 34569 38410 42780 46092 46593 51770 57615 62124 64170 69138 76820 77655 93186 103540 115230 119071 128340 138276 155310 172845 186372 230460 232965 238142 310620 345690 357213 465930 476284 595355 691380 714426 931860 1071639 1190710 1428852 1786065 2143278 2381420 3572130 4286556 5358195 7144260 10716390 21432780