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200504106 = 233112271487
BaseRepresentation
bin10111111001101…
…11001100101010
3111222021122221000
423330313030222
5402312112411
631521255430
74653154035
oct1374671452
9458248830
10200504106
11a31a7780
1257194576
13327028aa
141c8b401c
1512908956
hexbf3732a

200504106 has 64 divisors (see below), whose sum is σ = 488540160. Its totient is φ = 60450480.

The previous prime is 200504077. The next prime is 200504107. The reversal of 200504106 is 601405002.

It is a happy number.

200504106 is a `hidden beast` number, since 200 + 50 + 410 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200504107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134095 + ... + 135581.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2200504106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200504106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

200504106 is an abundant number, since it is smaller than the sum of its proper divisors (288036054).

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

200504106 is a wasteful number, since it uses less digits than its factorization.

200504106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 200504106 is about 14159.9472456644. The cubic root of 200504106 is about 585.2944737040.

Adding to 200504106 its reverse (601405002), we get a palindrome (801909108).

The spelling of 200504106 in words is "two hundred million, five hundred four thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 227 297 454 594 681 1362 1487 2043 2497 2974 4086 4461 4994 6129 7491 8922 12258 13383 14982 16357 22473 26766 32714 40149 44946 49071 67419 80298 98142 134838 147213 294426 337549 441639 675098 883278 1012647 2025294 3037941 3713039 6075882 7426078 9113823 11139117 18227646 22278234 33417351 66834702 100252053 200504106