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208410020 = 225713307373
BaseRepresentation
bin11000110110000…
…01010110100100
3112112011022210122
430123001112210
5411323110040
632402541112
75110312250
oct1433012644
9475138718
10208410020
11a7707595
1259967798
1334240250
141d971260
151346b1b5
hexc6c15a4

208410020 has 96 divisors (see below), whose sum is σ = 541863168. Its totient is φ = 65567232.

The previous prime is 208410001. The next prime is 208410023. The reversal of 208410020 is 20014802.

It is not an unprimeable number, because it can be changed into a prime (208410023) 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, 558554 + ... + 558926.

It is an arithmetic number, because the mean of its divisors is an integer number (5644408).

Almost surely, 2208410020 is an apocalyptic number.

208410020 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 208410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270931584).

208410020 is an abundant number, since it is smaller than the sum of its proper divisors (333453148).

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

208410020 is a wasteful number, since it uses less digits than its factorization.

208410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 208410020 is about 14436.4129893821. The cubic root of 208410020 is about 592.8882795030. Note that the first 3 decimals are identical.

Adding to 208410020 its reverse (20014802), we get a palindrome (228424822).

The spelling of 208410020 in words is "two hundred eight million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 307 364 373 455 614 746 910 1228 1492 1535 1820 1865 2149 2611 3070 3730 3991 4298 4849 5222 6140 7460 7982 8596 9698 10444 10745 13055 15964 19396 19955 21490 24245 26110 27937 33943 39910 42980 48490 52220 55874 67886 79820 96980 111748 114511 135772 139685 169715 229022 279370 339430 458044 558740 572555 678860 801577 1145110 1488643 1603154 2290220 2977286 3206308 4007885 5954572 7443215 8015770 10420501 14886430 16031540 20841002 29772860 41682004 52102505 104205010 208410020