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204890756 = 227219371487
BaseRepresentation
bin11000011011001…
…10001010000100
3112021112112021112
430031212022010
5404423001011
632155304152
75035354100
oct1415461204
9467475245
10204890756
11a5723504
125874b058
13335aa445
141d2d6900
1512ec358b
hexc366284

204890756 has 72 divisors (see below), whose sum is σ = 451221120. Its totient is φ = 80885952.

The previous prime is 204890747. The next prime is 204890767. The reversal of 204890756 is 657098402.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 137045 + ... + 138531.

It is an arithmetic number, because the mean of its divisors is an integer number (6266960).

Almost surely, 2204890756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204890756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

204890756 is an abundant number, since it is smaller than the sum of its proper divisors (246330364).

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

204890756 is a wasteful number, since it uses less digits than its factorization.

204890756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 204890756 is about 14314.0055889328. The cubic root of 204890756 is about 589.5320967061.

The spelling of 204890756 in words is "two hundred four million, eight hundred ninety thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 37 38 49 74 76 98 133 148 196 259 266 518 532 703 931 1036 1406 1487 1813 1862 2812 2974 3626 3724 4921 5948 7252 9842 10409 19684 20818 28253 34447 41636 55019 56506 68894 72863 110038 113012 137788 145726 197771 220076 291452 385133 395542 770266 791084 1045361 1384397 1540532 2090722 2695931 2768794 4181444 5391862 5537588 7317527 10783724 14635054 29270108 51222689 102445378 204890756