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203284080 = 2435510457
BaseRepresentation
bin11000001110111…
…01111001110000
3112011111220100000
430013131321300
5404020042310
632101030000
75015612646
oct1407357160
9464456300
10203284080
11a482637a
12580b5300
133316704c
141cdd9196
1512ca74c0
hexc1dde70

203284080 has 120 divisors (see below), whose sum is σ = 708048432. Its totient is φ = 54203904.

The previous prime is 203284073. The next prime is 203284093. The reversal of 203284080 is 80482302.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14212 + ... + 24668.

Almost surely, 2203284080 is an apocalyptic number.

203284080 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 203284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354024216).

203284080 is an abundant number, since it is smaller than the sum of its proper divisors (504764352).

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

203284080 is a wasteful number, since it uses less digits than its factorization.

203284080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 203284080 is about 14257.7726170675. The cubic root of 203284080 is about 587.9870884295.

The spelling of 203284080 in words is "two hundred three million, two hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 10457 19440 20914 31371 41828 52285 62742 83656 94113 104570 125484 156855 167312 188226 209140 250968 282339 313710 376452 418280 470565 501936 564678 627420 752904 836560 847017 941130 1129356 1254840 1411695 1505808 1694034 1882260 2258712 2509680 2541051 2823390 3388068 3764520 4235085 4517424 5082102 5646780 6776136 7529040 8470170 10164204 11293560 12705255 13552272 16940340 20328408 22587120 25410510 33880680 40656816 50821020 67761360 101642040 203284080