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20145240 = 2333523811
BaseRepresentation
bin100110011011…
…0010001011000
31101220111002000
41030312101120
520124121430
61555441000
7333142323
oct114662130
941814060
1020145240
111040a465
1268b6160
13423457b
1429657ba
151b7de60
hex1336458

20145240 has 128 divisors (see below), whose sum is σ = 70156800. Its totient is φ = 5132160.

The previous prime is 20145233. The next prime is 20145241. The reversal of 20145240 is 4254102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145241) 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 31 ways as a sum of consecutive naturals, for example, 24435 + ... + 25245.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 220145240 is an apocalyptic number.

20145240 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 20145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078400).

20145240 is an abundant number, since it is smaller than the sum of its proper divisors (50011560).

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

20145240 is a wasteful number, since it uses less digits than its factorization.

20145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20145240 is about 4488.3449065329. The cubic root of 20145240 is about 272.0972475224.

Adding to 20145240 its reverse (4254102), we get a palindrome (24399342).

The spelling of 20145240 in words is "twenty million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 811 828 920 1035 1080 1242 1380 1622 1656 2070 2433 2484 2760 3105 3244 4055 4140 4866 4968 6210 6488 7299 8110 8280 9732 12165 12420 14598 16220 18653 19464 21897 24330 24840 29196 32440 36495 37306 43794 48660 55959 58392 72990 74612 87588 93265 97320 109485 111918 145980 149224 167877 175176 186530 218970 223836 279795 291960 335754 373060 437940 447672 503631 559590 671508 746120 839385 875880 1007262 1119180 1343016 1678770 2014524 2238360 2518155 3357540 4029048 5036310 6715080 10072620 20145240