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20240000 = 27541123
BaseRepresentation
bin100110100110…
…1011010000000
31102002022001122
41031031122000
520140140000
62001451412
7334015514
oct115153200
942068048
1020240000
1110474680
126940b68
134268741
14298c144
151b9c085
hex134d680

20240000 has 160 divisors (see below), whose sum is σ = 57356640. Its totient is φ = 7040000.

The previous prime is 20239991. The next prime is 20240021. The reversal of 20240000 is 4202.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20240000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879989 + ... + 880011.

It is an arithmetic number, because the mean of its divisors is an integer number (358479).

Almost surely, 220240000 is an apocalyptic number.

20240000 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 20240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28678320).

20240000 is an abundant number, since it is smaller than the sum of its proper divisors (37116640).

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

20240000 is an equidigital number, since it uses as much as digits as its factorization.

20240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20240000 is about 4498.8887516808. Note that the first 3 decimals coincide. The cubic root of 20240000 is about 272.5232143621.

Adding to 20240000 its reverse (4202), we get a palindrome (20244202).

The spelling of 20240000 in words is "twenty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 125 128 160 176 184 200 220 230 250 253 275 320 352 368 400 440 460 500 506 550 575 625 640 704 736 800 880 920 1000 1012 1100 1150 1250 1265 1375 1408 1472 1600 1760 1840 2000 2024 2200 2300 2500 2530 2750 2875 2944 3200 3520 3680 4000 4048 4400 4600 5000 5060 5500 5750 6325 6875 7040 7360 8000 8096 8800 9200 10000 10120 11000 11500 12650 13750 14375 14720 16000 16192 17600 18400 20000 20240 22000 23000 25300 27500 28750 31625 32384 35200 36800 40000 40480 44000 46000 50600 55000 57500 63250 73600 80000 80960 88000 92000 101200 110000 115000 126500 158125 161920 176000 184000 202400 220000 230000 253000 316250 368000 404800 440000 460000 506000 632500 809600 880000 920000 1012000 1265000 1840000 2024000 2530000 4048000 5060000 10120000 20240000