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204104032 = 25111015741
BaseRepresentation
bin11000010101001…
…10000101100000
3112020001120002121
430022212011200
5404222312112
632130354024
75025566326
oct1412460540
9466046077
10204104032
11a5236420
125842b914
1333393322
141d16dd16
1512dba407
hexc2a6160

204104032 has 48 divisors (see below), whose sum is σ = 442777104. Its totient is φ = 91840000.

The previous prime is 204104029. The next prime is 204104053. The reversal of 204104032 is 230401402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 204103997 and 204104015.

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, 32682 + ... + 38422.

It is an arithmetic number, because the mean of its divisors is an integer number (9224523).

Almost surely, 2204104032 is an apocalyptic number.

204104032 is a gapful number since it is divisible by the number (22) 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 204104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221388552).

204104032 is an abundant number, since it is smaller than the sum of its proper divisors (238673072).

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

204104032 is a wasteful number, since it uses less digits than its factorization.

204104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 204104032 is about 14286.4982413466. The cubic root of 204104032 is about 588.7765819983.

Adding to 204104032 its reverse (230401402), we get a palindrome (434505434).

It can be divided in two parts, 20410 and 4032, that added together give a palindrome (24442).

The spelling of 204104032 in words is "two hundred four million, one hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 5741 8888 11482 17776 22964 35552 45928 63151 91856 126302 183712 252604 505208 579841 1010416 1159682 2020832 2319364 4638728 6378251 9277456 12756502 18554912 25513004 51026008 102052016 204104032