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204297520 = 2457973761
BaseRepresentation
bin11000010110101…
…01010100110000
3112020102101111211
430023111110300
5404300010040
632134445504
75030333410
oct1413252460
9466371454
10204297520
11a5358829
1258503894
133343040b
141d1c0640
1512e078ea
hexc2d5530

204297520 has 80 divisors (see below), whose sum is σ = 548589888. Its totient is φ = 69304320.

The previous prime is 204297497. The next prime is 204297571. The reversal of 204297520 is 25792402.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52440 + ... + 56200.

Almost surely, 2204297520 is an apocalyptic number.

204297520 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 204297520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274294944).

204297520 is an abundant number, since it is smaller than the sum of its proper divisors (344292368).

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

204297520 is a wasteful number, since it uses less digits than its factorization.

204297520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 204297520 is about 14293.2683456234. The cubic root of 204297520 is about 588.9625741163.

The spelling of 204297520 in words is "two hundred four million, two hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 776 970 1358 1552 1940 2716 3395 3761 3880 5432 6790 7522 7760 10864 13580 15044 18805 26327 27160 30088 37610 52654 54320 60176 75220 105308 131635 150440 210616 263270 300880 364817 421232 526540 729634 1053080 1459268 1824085 2106160 2553719 2918536 3648170 5107438 5837072 7296340 10214876 12768595 14592680 20429752 25537190 29185360 40859504 51074380 102148760 204297520