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20442024 = 23331719293
BaseRepresentation
bin100110111111…
…0101110101000
31102110120012000
41031332232220
520213121044
62010051000
7335516511
oct115765650
942416160
1020442024
11105a2439
126a19a60
134309695
142a01a08
151bdbd69
hex137eba8

20442024 has 128 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6054912.

The previous prime is 20442011. The next prime is 20442053. The reversal of 20442024 is 42024402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20441988 and 20442006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69622 + ... + 69914.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 220442024 is an apocalyptic number.

20442024 is a gapful number since it is divisible by the number (24) 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 20442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

20442024 is an abundant number, since it is smaller than the sum of its proper divisors (43061976).

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

20442024 is a wasteful number, since it uses less digits than its factorization.

20442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20442024 is about 4521.2856578633. The cubic root of 20442024 is about 273.4269373378.

Adding to 20442024 its reverse (42024402), we get a palindrome (62466426).

The spelling of 20442024 in words is "twenty million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 293 306 323 342 408 456 459 513 586 612 646 684 879 918 969 1026 1172 1224 1292 1368 1758 1836 1938 2052 2344 2584 2637 2907 3516 3672 3876 4104 4981 5274 5567 5814 7032 7752 7911 8721 9962 10548 11134 11628 14943 15822 16701 17442 19924 21096 22268 23256 29886 31644 33402 34884 39848 44536 44829 50103 59772 63288 66804 69768 89658 94639 100206 119544 133608 134487 150309 179316 189278 200412 268974 283917 300618 358632 378556 400824 537948 567834 601236 757112 851751 1075896 1135668 1202472 1703502 2271336 2555253 3407004 5110506 6814008 10221012 20442024