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204906416 = 2411132832
BaseRepresentation
bin11000011011010…
…01111110110000
3112021120022202112
430031221332300
5404424001131
632155504452
75035450541
oct1415517660
9467508675
10204906416
11a5734250
1258758128
13335b4600
141d2dc4c8
1512ec802b
hexc369fb0

204906416 has 90 divisors (see below), whose sum is σ = 474693948. Its totient is φ = 84938880.

The previous prime is 204906413. The next prime is 204906467. The reversal of 204906416 is 614609402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (204906413) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2468711 + ... + 2468793.

Almost surely, 2204906416 is an apocalyptic number.

204906416 is a gapful number since it is divisible by the number (26) 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 204906416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237346974).

204906416 is an abundant number, since it is smaller than the sum of its proper divisors (269787532).

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

204906416 is a wasteful number, since it uses less digits than its factorization.

204906416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 204906416 is about 14314.5525951739. The cubic root of 204906416 is about 589.5471158275.

The spelling of 204906416 in words is "two hundred four million, nine hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 83 88 104 143 166 169 176 208 286 332 338 572 664 676 913 1079 1144 1328 1352 1826 1859 2158 2288 2704 3652 3718 4316 6889 7304 7436 8632 11869 13778 14027 14608 14872 17264 23738 27556 28054 29744 47476 55112 56108 75779 89557 94952 110224 112216 151558 154297 179114 189904 224432 303116 308594 358228 606232 617188 716456 985127 1164241 1212464 1234376 1432912 1970254 2328482 2468752 3940508 4656964 7881016 9313928 12806651 15762032 18627856 25613302 51226604 102453208 204906416