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204652420 = 225721929379
BaseRepresentation
bin11000011001010…
…11111110000100
3112021002102100021
430030223332010
5404342334140
632150224524
75033342200
oct1414537604
9467072307
10204652420
11a5580435
1258655144
1333525b0b
141d273b00
1512e77b4a
hexc32bf84

204652420 has 144 divisors (see below), whose sum is σ = 545832000. Its totient is φ = 64012032.

The previous prime is 204652417. The next prime is 204652433. The reversal of 204652420 is 24256402.

204652420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2046524202 = 83765226023712800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539791 + ... + 540169.

It is an arithmetic number, because the mean of its divisors is an integer number (3790500).

Almost surely, 2204652420 is an apocalyptic number.

204652420 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 204652420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272916000).

204652420 is an abundant number, since it is smaller than the sum of its proper divisors (341179580).

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

204652420 is a wasteful number, since it uses less digits than its factorization.

204652420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 204652420 is about 14305.6778937595. The cubic root of 204652420 is about 589.3034199866.

The spelling of 204652420 in words is "two hundred four million, six hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 49 58 70 76 95 98 116 133 140 145 190 196 203 245 266 290 379 380 406 490 532 551 580 665 758 812 931 980 1015 1102 1330 1421 1516 1862 1895 2030 2204 2653 2660 2755 2842 3724 3790 3857 4060 4655 5306 5510 5684 7105 7201 7580 7714 9310 10612 10991 11020 13265 14210 14402 15428 18571 18620 19285 21982 26530 26999 28420 28804 36005 37142 38570 43964 50407 53060 53998 54955 72010 74284 76937 77140 92855 100814 107996 109910 134995 144020 153874 185710 201628 208829 219820 252035 269990 307748 352849 371420 384685 417658 504070 538559 539980 705698 769370 835316 1008140 1044145 1077118 1411396 1461803 1538740 1764245 2088290 2154236 2692795 2923606 3528490 4176580 5385590 5847212 7056980 7309015 10232621 10771180 14618030 20465242 29236060 40930484 51163105 102326210 204652420