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20334240 = 25355523
BaseRepresentation
bin100110110010…
…0011010100000
31102021002100000
41031210122200
520201143430
62003500000
7334560333
oct115443240
942232300
1020334240
1110529463
126987600
13429c5c4
1429b461a
151bb9e60
hex13646a0

20334240 has 144 divisors (see below), whose sum is σ = 72098208. Its totient is φ = 5412096.

The previous prime is 20334239. The next prime is 20334241. The reversal of 20334240 is 4243302.

It is an interprime number because it is at equal distance from previous prime (20334239) and next prime (20334241).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (20334241) 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, 38619 + ... + 39141.

It is an arithmetic number, because the mean of its divisors is an integer number (500682).

Almost surely, 220334240 is an apocalyptic number.

20334240 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 20334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049104).

20334240 is an abundant number, since it is smaller than the sum of its proper divisors (51763968).

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

20334240 is an equidigital number, since it uses as much as digits as its factorization.

20334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20334240 is about 4509.3502857951. The cubic root of 20334240 is about 272.9455271100.

Adding to 20334240 its reverse (4243302), we get a palindrome (24577542).

It can be divided in two parts, 203 and 34240, that added together give a palindrome (34443).

The spelling of 20334240 in words is "twenty million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 523 540 648 720 810 864 972 1046 1080 1215 1296 1440 1569 1620 1944 2092 2160 2430 2592 2615 3138 3240 3888 4184 4320 4707 4860 5230 6276 6480 7776 7845 8368 9414 9720 10460 12552 12960 14121 15690 16736 18828 19440 20920 23535 25104 28242 31380 37656 38880 41840 42363 47070 50208 56484 62760 70605 75312 83680 84726 94140 112968 125520 127089 141210 150624 169452 188280 211815 225936 251040 254178 282420 338904 376560 423630 451872 508356 564840 635445 677808 753120 847260 1016712 1129680 1270890 1355616 1694520 2033424 2259360 2541780 3389040 4066848 5083560 6778080 10167120 20334240