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204240000420 = 223351481255383
BaseRepresentation
bin1011111000110110100…
…1110001010110100100
3201112011211121000122000
42332031221301112210
511321240420003140
6233454312005300
720520154234161
oct2761551612644
9645154530560
10204240000420
1179688179285
12336bb690830
131634b891971
149c5726b068
1554a5805a30
hex2f8da715a4

204240000420 has 96 divisors (see below), whose sum is σ = 635844867840. Its totient is φ = 54427011840.

The previous prime is 204240000413. The next prime is 204240000427. The reversal of 204240000420 is 24000042402.

204240000420 is a `hidden beast` number, since 2 + 0 + 4 + 240 + 0 + 0 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (204240000413) and next prime (204240000427).

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 = 204240000393 and 204240000402.

It is not an unprimeable number, because it can be changed into a prime (204240000427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672049 + ... + 927431.

It is an arithmetic number, because the mean of its divisors is an integer number (6623384040).

Almost surely, 2204240000420 is an apocalyptic number.

204240000420 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 204240000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317922433920).

204240000420 is an abundant number, since it is smaller than the sum of its proper divisors (431604867420).

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

204240000420 is a wasteful number, since it uses less digits than its factorization.

204240000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256882 (or 256874 counting only the distinct ones).

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

Adding to 204240000420 its reverse (24000042402), we get a palindrome (228240042822).

The spelling of 204240000420 in words is "two hundred four billion, two hundred forty million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1481 2962 4443 5924 7405 8886 13329 14810 17772 22215 26658 29620 39987 44430 53316 66645 79974 88860 133290 159948 199935 255383 266580 399870 510766 766149 799740 1021532 1276915 1532298 2298447 2553830 3064596 3830745 4596894 5107660 6895341 7661490 9193788 11492235 13790682 15322980 22984470 27581364 34476705 45968940 68953410 137906820 378222223 756444446 1134666669 1512888892 1891111115 2269333338 3404000007 3782222230 4538666676 5673333345 6808000014 7564444460 10212000021 11346666690 13616000028 17020000035 20424000042 22693333380 34040000070 40848000084 51060000105 68080000140 102120000210 204240000420