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200700400 = 2452539467
BaseRepresentation
bin10111111011001…
…11000111110000
3111222122122012011
423331213013300
5402334403100
631525412304
74654632235
oct1375470760
9458578164
10200700400
11a33211aa
125726a094
1332771044
141c92578c
1512946bba
hexbf671f0

200700400 has 60 divisors (see below), whose sum is σ = 491332392. Its totient is φ = 78757120.

The previous prime is 200700397. The next prime is 200700403. The reversal of 200700400 is 4007002.

It is an interprime number because it is at equal distance from previous prime (200700397) and next prime (200700403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200700403) 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 11 ways as a sum of consecutive naturals, for example, 16467 + ... + 25933.

Almost surely, 2200700400 is an apocalyptic number.

200700400 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 200700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245666196).

200700400 is an abundant number, since it is smaller than the sum of its proper divisors (290631992).

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

200700400 is a wasteful number, since it uses less digits than its factorization.

200700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 200700400 is about 14166.8768611857. The cubic root of 200700400 is about 585.4854129714.

Adding to 200700400 its reverse (4007002), we get a palindrome (204707402).

The spelling of 200700400 in words is "two hundred million, seven hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 9467 10600 18934 21200 37868 47335 75736 94670 151472 189340 236675 378680 473350 501751 757360 946700 1003502 1893400 2007004 2508755 3786800 4014008 5017510 8028016 10035020 12543775 20070040 25087550 40140080 50175100 100350200 200700400