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204004040 = 23543831429
BaseRepresentation
bin11000010100011…
…01101011001000
3112012212110221012
430022031223020
5404211112130
632124303052
75025001652
oct1412155310
9465773835
10204004040
11a5178289
12583a1a88
1333359966
141d1456d2
1512d9a995
hexc28dac8

204004040 has 64 divisors (see below), whose sum is σ = 475675200. Its totient is φ = 78688512.

The previous prime is 204004039. The next prime is 204004057. The reversal of 204004040 is 40400402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142046 + ... + 143474.

It is an arithmetic number, because the mean of its divisors is an integer number (7432425).

Almost surely, 2204004040 is an apocalyptic number.

204004040 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 204004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237837600).

204004040 is an abundant number, since it is smaller than the sum of its proper divisors (271671160).

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

204004040 is a wasteful number, since it uses less digits than its factorization.

204004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 204004040 is about 14282.9982846740. The cubic root of 204004040 is about 588.6804176973.

Adding to 204004040 its reverse (40400402), we get a palindrome (244404442).

The spelling of 204004040 in words is "two hundred four million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 83 86 166 172 215 332 344 415 430 664 830 860 1429 1660 1720 2858 3320 3569 5716 7138 7145 11432 14276 14290 17845 28552 28580 35690 57160 61447 71380 118607 122894 142760 237214 245788 307235 474428 491576 593035 614470 948856 1186070 1228940 2372140 2457880 4744280 5100101 10200202 20400404 25500505 40800808 51001010 102002020 204004040