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204160 = 2751129
BaseRepresentation
bin110001110110000000
3101101001111
4301312000
523013120
64213104
71510135
oct616600
9341044
10204160
1112a430
129a194
1371c08
145458c
154075a
hex31d80

204160 has 64 divisors (see below), whose sum is σ = 550800. Its totient is φ = 71680.

The previous prime is 204151. The next prime is 204161. The reversal of 204160 is 61402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 204160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7026 + ... + 7054.

2204160 is an apocalyptic number.

204160 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 204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275400).

204160 is an abundant number, since it is smaller than the sum of its proper divisors (346640).

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

204160 is a wasteful number, since it uses less digits than its factorization.

204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 204160 is about 451.8406798862. The cubic root of 204160 is about 58.8830393831.

Adding to 204160 its reverse (61402), we get a palindrome (265562).

It can be divided in two parts, 204 and 160, that multiplied together give a triangular number (32640 = T255).

The spelling of 204160 in words is "two hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1408 1595 1760 1856 2320 2552 3190 3520 3712 4640 5104 6380 7040 9280 10208 12760 18560 20416 25520 40832 51040 102080 204160