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11414500 = 225337617
BaseRepresentation
bin101011100010…
…101111100100
3210110220202021
4223202233210
510410231000
61044352524
7166010266
oct53425744
923426667
1011414500
116496979
1239a5744
132498656
141731b36
15100711a
hexae2be4

11414500 has 48 divisors (see below), whose sum is σ = 25644528. Its totient is φ = 4435200.

The previous prime is 11414471. The next prime is 11414519. The reversal of 11414500 is 541411.

It can be written as a sum of positive squares in 8 ways, for example, as 4571044 + 6843456 = 2138^2 + 2616^2 .

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 15 ways as a sum of consecutive naturals, for example, 18192 + ... + 18808.

It is an arithmetic number, because the mean of its divisors is an integer number (534261).

Almost surely, 211414500 is an apocalyptic number.

11414500 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 11414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822264).

11414500 is an abundant number, since it is smaller than the sum of its proper divisors (14230028).

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

11414500 is a wasteful number, since it uses less digits than its factorization.

11414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 11414500 is about 3378.5351855501. The cubic root of 11414500 is about 225.1570919411.

Adding to 11414500 its reverse (541411), we get a palindrome (11955911).

The spelling of 11414500 in words is "eleven million, four hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 617 740 925 1234 1850 2468 3085 3700 4625 6170 9250 12340 15425 18500 22829 30850 45658 61700 77125 91316 114145 154250 228290 308500 456580 570725 1141450 2282900 2853625 5707250 11414500