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208671090 = 23517619661
BaseRepresentation
bin11000111000000…
…01000101110010
3112112122120220220
430130001011302
5411404433330
632412313510
75112450345
oct1434010562
9475576826
10208671090
11a7875751
1259a72896
1334302024
141d9dc45c
15134bd710
hexc701172

208671090 has 64 divisors (see below), whose sum is σ = 531930240. Its totient is φ = 52208640.

The previous prime is 208671049. The next prime is 208671119. The reversal of 208671090 is 90176802.

It is an unprimeable number.

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, 315360 + ... + 316020.

It is an arithmetic number, because the mean of its divisors is an integer number (8311410).

Almost surely, 2208671090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208671090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265965120).

208671090 is an abundant number, since it is smaller than the sum of its proper divisors (323259150).

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

208671090 is a wasteful number, since it uses less digits than its factorization.

208671090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 208671090 is about 14445.4522255276. The cubic root of 208671090 is about 593.1357416231.

The spelling of 208671090 in words is "two hundred eight million, six hundred seventy-one thousand, ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 619 661 1238 1322 1857 1983 3095 3305 3714 3966 6190 6610 9285 9915 10523 11237 18570 19830 21046 22474 31569 33711 52615 56185 63138 67422 105230 112370 157845 168555 315690 337110 409159 818318 1227477 2045795 2454954 4091590 6137385 6955703 12274770 13911406 20867109 34778515 41734218 69557030 104335545 208671090