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204755096 = 2371319113131
BaseRepresentation
bin11000011010001…
…01000010011000
3112021021122012002
430031011002120
5404404130341
632152340132
75034250430
oct1415050230
9467248162
10204755096
11a5640597
12586a4648
1333560780
141d29d2c0
1512e9829b
hexc345098

204755096 has 128 divisors (see below), whose sum is σ = 505612800. Its totient is φ = 75479040.

The previous prime is 204755081. The next prime is 204755113. The reversal of 204755096 is 690557402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1562951 + ... + 1563081.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2204755096 is an apocalyptic number.

204755096 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 204755096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252806400).

204755096 is an abundant number, since it is smaller than the sum of its proper divisors (300857704).

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

204755096 is a wasteful number, since it uses less digits than its factorization.

204755096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 204755096 is about 14309.2660887971. The cubic root of 204755096 is about 589.4019564902.

The spelling of 204755096 in words is "two hundred four million, seven hundred fifty-five thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 113 131 133 152 182 226 247 262 266 364 452 494 524 532 728 791 904 917 988 1048 1064 1469 1582 1703 1729 1834 1976 2147 2489 2938 3164 3406 3458 3668 4294 4978 5876 6328 6812 6916 7336 8588 9956 10283 11752 11921 13624 13832 14803 15029 17176 17423 19912 20566 23842 27911 29606 30058 32357 34846 41132 47684 55822 59212 60116 64714 69692 82264 95368 103621 111644 118424 120232 129428 139384 192439 195377 207242 223288 226499 258856 281257 384878 390754 414484 452998 562514 769756 781508 828968 905996 1125028 1347073 1539512 1563016 1811992 1968799 2250056 2694146 3656341 3937598 5388292 7312682 7875196 10776584 14625364 15750392 25594387 29250728 51188774 102377548 204755096