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11434900 = 2252412789
BaseRepresentation
bin101011100111…
…101110010100
3210111221201211
4223213232110
510411404100
61045031204
7166123621
oct53475624
923457654
1011434900
116500234
1239b5504
1324a4a19
141739348
15100d1ba
hexae7b94

11434900 has 36 divisors (see below), whose sum is σ = 25428060. Its totient is φ = 4460800.

The previous prime is 11434889. The next prime is 11434901. The reversal of 11434900 is 943411.

It can be written as a sum of positive squares in 6 ways, for example, as 1411344 + 10023556 = 1188^2 + 3166^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2706 + ... + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (706335).

Almost surely, 211434900 is an apocalyptic number.

11434900 is a gapful number since it is divisible by the number (10) 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 11434900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12714030).

11434900 is an abundant number, since it is smaller than the sum of its proper divisors (13993160).

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

11434900 is a wasteful number, since it uses less digits than its factorization.

11434900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 11434900 is about 3381.5528977084. The cubic root of 11434900 is about 225.2911457342.

The spelling of 11434900 in words is "eleven million, four hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2789 4100 5578 11156 13945 27890 55780 69725 114349 139450 228698 278900 457396 571745 1143490 2286980 2858725 5717450 11434900