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204464260 = 2257211131459
BaseRepresentation
bin11000010111111…
…10000010000100
3112020201212020101
430023332002010
5404320324020
632142213444
75031626500
oct1413760204
9466655211
10204464260
11a5462030
1258584284
133348b290
141d225300
1512e3c00a
hexc2fe084

204464260 has 144 divisors (see below), whose sum is σ = 587200320. Its totient is φ = 58786560.

The previous prime is 204464243. The next prime is 204464329. The reversal of 204464260 is 62464402.

204464260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 139411 + ... + 140869.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2204464260 is an apocalyptic number.

204464260 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 204464260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160).

204464260 is an abundant number, since it is smaller than the sum of its proper divisors (382736060).

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

204464260 is a wasteful number, since it uses less digits than its factorization.

204464260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 204464260 is about 14299.0999716765. The cubic root of 204464260 is about 589.1227602915.

It can be divided in two parts, 204 and 464260, that added together give a palindrome (464464).

The spelling of 204464260 in words is "two hundred four million, four hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1459 1540 1820 2002 2156 2548 2695 2860 2918 3185 4004 5005 5390 5836 6370 7007 7295 10010 10213 10780 12740 14014 14590 16049 18967 20020 20426 28028 29180 32098 35035 37934 40852 51065 64196 70070 71491 75868 80245 94835 102130 112343 132769 140140 142982 160490 189670 204260 208637 224686 265538 285964 320980 357455 379340 417274 449372 531076 561715 663845 714910 786401 834548 929383 1043185 1123430 1327690 1429820 1460459 1572802 1858766 2086370 2246860 2655380 2920918 3145604 3717532 3932005 4172740 4646915 5841836 7302295 7864010 9293830 10223213 14604590 15728020 18587660 20446426 29209180 40892852 51116065 102232130 204464260