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204380520 = 23353154941
BaseRepresentation
bin11000010111010…
…01100101101000
3112020120121100220
430023221211220
5404310134040
632140330040
75031130401
oct1413514550
9466517326
10204380520
11a5405123
1258543920
133345c126
141d2029a8
1512e222d0
hexc2e9968

204380520 has 64 divisors (see below), whose sum is σ = 632931840. Its totient is φ = 52742400.

The previous prime is 204380503. The next prime is 204380521. The reversal of 204380520 is 25083402.

204380520 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 (24).

It is not an unprimeable number, because it can be changed into a prime (204380521) by changing a digit.

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, 23751 + ... + 31190.

It is an arithmetic number, because the mean of its divisors is an integer number (9889560).

Almost surely, 2204380520 is an apocalyptic number.

204380520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204380520 is an abundant number, since it is smaller than the sum of its proper divisors (428551320).

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

204380520 is a wasteful number, since it uses less digits than its factorization.

204380520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54986 (or 54982 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 204380520 is about 14296.1715154792. The cubic root of 204380520 is about 589.0423226372.

The spelling of 204380520 in words is "two hundred four million, three hundred eighty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 54941 109882 164823 219764 274705 329646 439528 549410 659292 824115 1098820 1318584 1648230 1703171 2197640 3296460 3406342 5109513 6592920 6812684 8515855 10219026 13625368 17031710 20438052 25547565 34063420 40876104 51095130 68126840 102190260 204380520