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204142560 = 2535425297
BaseRepresentation
bin11000010101011…
…11011111100000
3112020010111221120
430022233133200
5404230030220
632131252240
75026116546
oct1412573740
9466114846
10204142560
11a5262366
125844a080
13333a7a1b
141d17dd96
1512dc6a40
hexc2af7e0

204142560 has 48 divisors (see below), whose sum is σ = 643050576. Its totient is φ = 54437888.

The previous prime is 204142541. The next prime is 204142597. The reversal of 204142560 is 65241402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204142560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212169 + ... + 213128.

It is an arithmetic number, because the mean of its divisors is an integer number (13396887).

Almost surely, 2204142560 is an apocalyptic number.

204142560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204142560 is an abundant number, since it is smaller than the sum of its proper divisors (438908016).

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

204142560 is a wasteful number, since it uses less digits than its factorization.

204142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425315 (or 425307 counting only the distinct ones).

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

The square root of 204142560 is about 14287.8465837228. The cubic root of 204142560 is about 588.8136267621.

Adding to 204142560 its reverse (65241402), we get a palindrome (269383962).

The spelling of 204142560 in words is "two hundred four million, one hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 425297 850594 1275891 1701188 2126485 2551782 3402376 4252970 5103564 6379455 6804752 8505940 10207128 12758910 13609504 17011880 20414256 25517820 34023760 40828512 51035640 68047520 102071280 204142560