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204131004 = 2237111731277
BaseRepresentation
bin11000010101011…
…00101010111100
3112020002221002120
430022230222330
5404224143004
632131122540
75026041060
oct1412545274
9466087076
10204131004
11a5254710
1258443450
13333a269c
141d179aa0
1512dc33d9
hexc2acabc

204131004 has 96 divisors (see below), whose sum is σ = 597735936. Its totient is φ = 52673280.

The previous prime is 204130987. The next prime is 204131009. The reversal of 204131004 is 400131402.

204131004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204131009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159214 + ... + 160490.

It is an arithmetic number, because the mean of its divisors is an integer number (6226416).

Almost surely, 2204131004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204131004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298867968).

204131004 is an abundant number, since it is smaller than the sum of its proper divisors (393604932).

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

204131004 is a wasteful number, since it uses less digits than its factorization.

204131004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204131004 is about 14287.4421783607. The cubic root of 204131004 is about 588.8025161299.

Adding to 204131004 its reverse (400131402), we get a palindrome (604262406).

The spelling of 204131004 in words is "two hundred four million, one hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 173 231 308 346 462 519 692 924 1038 1211 1277 1903 2076 2422 2554 3633 3806 3831 4844 5108 5709 7266 7612 7662 8939 11418 13321 14047 14532 15324 17878 22836 26642 26817 28094 35756 39963 42141 53284 53634 56188 79926 84282 98329 107268 159852 168564 196658 220921 294987 393316 441842 589974 662763 883684 1179948 1325526 1546447 2430131 2651052 3092894 4639341 4860262 6185788 7290393 9278682 9720524 14580786 17010917 18557364 29161572 34021834 51032751 68043668 102065502 204131004