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11434100 = 22521091049
BaseRepresentation
bin101011100111…
…100001110100
3210111220122012
4223213201310
510411342400
61045023352
7166121366
oct53474164
923456565
1011434100
1164aa677
1239b4b58
1324a4552
141738d36
15100cd35
hexae7874

11434100 has 36 divisors (see below), whose sum is σ = 25063500. Its totient is φ = 4527360.

The previous prime is 11434099. The next prime is 11434123. The reversal of 11434100 is 143411.

It is a happy number.

11434100 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 6 ways, for example, as 438244 + 10995856 = 662^2 + 3316^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10376 + ... + 11424.

Almost surely, 211434100 is an apocalyptic number.

11434100 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 11434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531750).

11434100 is an abundant number, since it is smaller than the sum of its proper divisors (13629400).

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

11434100 is a wasteful number, since it uses less digits than its factorization.

11434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11434100 is about 3381.4346067904. The cubic root of 11434100 is about 225.2858917276.

Adding to 11434100 its reverse (143411), we get a palindrome (11577511).

The spelling of 11434100 in words is "eleven million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1049 1090 2098 2180 2725 4196 5245 5450 10490 10900 20980 26225 52450 104900 114341 228682 457364 571705 1143410 2286820 2858525 5717050 11434100