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21424040 = 23511232973
BaseRepresentation
bin101000110111…
…0011110101000
31111022110020222
41101232132220
520441032130
62043105212
7350046521
oct121563650
944273228
1021424040
1111103220
127212208
134591661
142bb9848
151d32ce5
hex146e7a8

21424040 has 128 divisors (see below), whose sum is σ = 57542400. Its totient is φ = 7096320.

The previous prime is 21424027. The next prime is 21424049. The reversal of 21424040 is 4042412.

It is not an unprimeable number, because it can be changed into a prime (21424049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293444 + ... + 293516.

It is an arithmetic number, because the mean of its divisors is an integer number (449550).

Almost surely, 221424040 is an apocalyptic number.

21424040 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 21424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28771200).

21424040 is an abundant number, since it is smaller than the sum of its proper divisors (36118360).

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

21424040 is a wasteful number, since it uses less digits than its factorization.

21424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 21424040 is about 4628.6110227583. The cubic root of 21424040 is about 277.7370320087.

Adding to 21424040 its reverse (4042412), we get a palindrome (25466452).

The spelling of 21424040 in words is "twenty-one million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 29 40 44 46 55 58 73 88 92 110 115 116 145 146 184 220 230 232 253 290 292 319 365 440 460 506 580 584 638 667 730 803 920 1012 1160 1265 1276 1334 1460 1595 1606 1679 2024 2117 2530 2552 2668 2920 3190 3212 3335 3358 4015 4234 5060 5336 6380 6424 6670 6716 7337 8030 8395 8468 10120 10585 12760 13340 13432 14674 16060 16790 16936 18469 21170 23287 26680 29348 32120 33580 36685 36938 42340 46574 48691 58696 67160 73370 73876 84680 92345 93148 97382 116435 146740 147752 184690 186296 194764 232870 243455 293480 369380 389528 465740 486910 535601 738760 931480 973820 1071202 1947640 2142404 2678005 4284808 5356010 10712020 21424040