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204052020 = 2235171910529
BaseRepresentation
bin11000010100110…
…01011000110100
3112012221220202020
430022121120310
5404214131040
632125313140
75025261564
oct1412313064
9465856666
10204052020
11a5200337
12584057b0
1333375753
141d158da4
1512da9cd0
hexc299634

204052020 has 96 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 48513024.

The previous prime is 204051977. The next prime is 204052027. The reversal of 204052020 is 20250402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204052027) 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, 14116 + ... + 24644.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2204052020 is an apocalyptic number.

204052020 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 204052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

204052020 is an abundant number, since it is smaller than the sum of its proper divisors (432802380).

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

204052020 is a wasteful number, since it uses less digits than its factorization.

204052020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10577 (or 10575 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 204052020 is about 14284.6778052569. The cubic root of 204052020 is about 588.7265649409.

The spelling of 204052020 in words is "two hundred four million, fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 9690 10529 19380 21058 31587 42116 52645 63174 105290 126348 157935 178993 200051 210580 315870 357986 400102 536979 600153 631740 715972 800204 894965 1000255 1073958 1200306 1789930 2000510 2147916 2400612 2684895 3000765 3400867 3579860 4001020 5369790 6001530 6801734 10202601 10739580 12003060 13603468 17004335 20405202 34008670 40810404 51013005 68017340 102026010 204052020