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204893480 = 23511736379
BaseRepresentation
bin11000011011001…
…10110100101000
3112021112200000102
430031212310220
5404423042410
632155324532
75035365041
oct1415466450
9467480012
10204893480
11a5725560
1258750748
13335ab75c
141d2d78c8
1512ec42a5
hexc366d28

204893480 has 64 divisors (see below), whose sum is σ = 509889600. Its totient is φ = 73474560.

The previous prime is 204893467. The next prime is 204893527. The reversal of 204893480 is 84398402.

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 15 ways as a sum of consecutive naturals, for example, 28931 + ... + 35309.

It is an arithmetic number, because the mean of its divisors is an integer number (7967025).

Almost surely, 2204893480 is an apocalyptic number.

204893480 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 204893480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254944800).

204893480 is an abundant number, since it is smaller than the sum of its proper divisors (304996120).

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

204893480 is a wasteful number, since it uses less digits than its factorization.

204893480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 204893480 is about 14314.1007401792. The cubic root of 204893480 is about 589.5347092826.

The spelling of 204893480 in words is "two hundred four million, eight hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6379 6424 8030 12758 16060 25516 31895 32120 51032 63790 70169 127580 140338 255160 280676 350845 465667 561352 701690 931334 1403380 1862668 2328335 2806760 3725336 4656670 5122337 9313340 10244674 18626680 20489348 25611685 40978696 51223370 102446740 204893480