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204313980 = 2235131631607
BaseRepresentation
bin11000010110110…
…01010101111100
3112020110020002110
430023121111330
5404301021410
632135054020
75030432403
oct1413312574
9466406073
10204313980
11a536a132
1258511310
1333437a60
141d1c663a
1512e0c720
hexc2d957c

204313980 has 96 divisors (see below), whose sum is σ = 620250624. Its totient is φ = 49953024.

The previous prime is 204313957. The next prime is 204313981. The reversal of 204313980 is 89313402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204313981) 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, 126337 + ... + 127943.

It is an arithmetic number, because the mean of its divisors is an integer number (6460944).

Almost surely, 2204313980 is an apocalyptic number.

204313980 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 204313980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310125312).

204313980 is an abundant number, since it is smaller than the sum of its proper divisors (415936644).

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

204313980 is a wasteful number, since it uses less digits than its factorization.

204313980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 204313980 is about 14293.8441295545. The cubic root of 204313980 is about 588.9783910217.

The spelling of 204313980 in words is "two hundred four million, three hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 163 195 260 326 390 489 652 780 815 978 1607 1630 1956 2119 2445 3214 3260 4238 4821 4890 6357 6428 8035 8476 9642 9780 10595 12714 16070 19284 20891 21190 24105 25428 31785 32140 41782 42380 48210 62673 63570 83564 96420 104455 125346 127140 208910 250692 261941 313365 417820 523882 626730 785823 1047764 1253460 1309705 1571646 2619410 3143292 3405233 3929115 5238820 6810466 7858230 10215699 13620932 15716460 17026165 20431398 34052330 40862796 51078495 68104660 102156990 204313980