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204427720 = 23571767641
BaseRepresentation
bin11000010111101…
…01000111001000
3112020200000010001
430023311013020
5404313141340
632141332344
75031415120
oct1413650710
9466600101
10204427720
11a5437632
12585670b4
1333477763
141d215c80
1512e3129a
hexc2f51c8

204427720 has 128 divisors (see below), whose sum is σ = 565781760. Its totient is φ = 64880640.

The previous prime is 204427679. The next prime is 204427753. The reversal of 204427720 is 27724402.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318600 + ... + 319240.

It is an arithmetic number, because the mean of its divisors is an integer number (4420170).

Almost surely, 2204427720 is an apocalyptic number.

204427720 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 204427720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282890880).

204427720 is an abundant number, since it is smaller than the sum of its proper divisors (361354040).

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

204427720 is a wasteful number, since it uses less digits than its factorization.

204427720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 204427720 is about 14297.8222117916. The cubic root of 204427720 is about 589.0876639734.

The spelling of 204427720 in words is "two hundred four million, four hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 67 68 70 85 119 134 136 140 170 238 268 280 335 340 469 476 536 595 641 670 680 938 952 1139 1190 1282 1340 1876 2278 2345 2380 2564 2680 3205 3752 4487 4556 4690 4760 5128 5695 6410 7973 8974 9112 9380 10897 11390 12820 15946 17948 18760 21794 22435 22780 25640 31892 35896 39865 42947 43588 44870 45560 54485 63784 76279 79730 85894 87176 89740 108970 152558 159460 171788 179480 214735 217940 300629 305116 318920 343576 381395 429470 435880 601258 610232 730099 762790 858940 1202516 1460198 1503145 1525580 1717880 2405032 2920396 3006290 3051160 3650495 5110693 5840792 6012580 7300990 10221386 12025160 14601980 20442772 25553465 29203960 40885544 51106930 102213860 204427720