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20235040 = 255722989
BaseRepresentation
bin100110100110…
…0001100100000
31102002001020221
41031030030200
520140010130
62001412424
7333665200
oct115141440
942061227
1020235040
1110470981
12693a114
1342663c7
14298a400
151b9a87a
hex134c320

20235040 has 144 divisors (see below), whose sum is σ = 58174200. Its totient is φ = 6623232.

The previous prime is 20235031. The next prime is 20235043. The reversal of 20235040 is 4053202.

It can be written as a sum of positive squares in 4 ways, for example, as 13454224 + 6780816 = 3668^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20235043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227316 + ... + 227404.

Almost surely, 220235040 is an apocalyptic number.

20235040 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 20235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29087100).

20235040 is an abundant number, since it is smaller than the sum of its proper divisors (37939160).

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

20235040 is a wasteful number, since it uses less digits than its factorization.

20235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 20235040 is about 4498.3374706662. The cubic root of 20235040 is about 272.5009510951.

Adding to 20235040 its reverse (4053202), we get a palindrome (24288242).

The spelling of 20235040 in words is "twenty million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 70 80 89 98 112 116 140 145 160 178 196 203 224 232 245 280 290 356 392 406 445 464 490 560 580 623 712 784 812 890 928 980 1015 1120 1160 1246 1421 1424 1568 1624 1780 1960 2030 2320 2492 2581 2842 2848 3115 3248 3560 3920 4060 4361 4640 4984 5162 5684 6230 6496 7105 7120 7840 8120 8722 9968 10324 11368 12460 12905 14210 14240 16240 17444 18067 19936 20648 21805 22736 24920 25810 28420 32480 34888 36134 41296 43610 45472 49840 51620 56840 69776 72268 82592 87220 90335 99680 103240 113680 126469 139552 144536 174440 180670 206480 227360 252938 289072 348880 361340 412960 505876 578144 632345 697760 722680 1011752 1264690 1445360 2023504 2529380 2890720 4047008 5058760 10117520 20235040