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11413820 = 22511291789
BaseRepresentation
bin101011100010…
…100100111100
3210110212211002
4223202210330
510410220240
61044345432
7166005305
oct53424474
923425732
1011413820
116496410
1239a5278
132498252
1417317ac
151006d15
hexae293c

11413820 has 48 divisors (see below), whose sum is σ = 27064800. Its totient is φ = 4005120.

The previous prime is 11413811. The next prime is 11413823. The reversal of 11413820 is 2831411.

11413820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11413792 and 11413801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5486 + ... + 7274.

It is an arithmetic number, because the mean of its divisors is an integer number (563850).

Almost surely, 211413820 is an apocalyptic number.

11413820 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 11413820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13532400).

11413820 is an abundant number, since it is smaller than the sum of its proper divisors (15650980).

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

11413820 is a wasteful number, since it uses less digits than its factorization.

11413820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11413820 is about 3378.4345487222. The cubic root of 11413820 is about 225.1526207316.

The spelling of 11413820 in words is "eleven million, four hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 1789 3190 3578 6380 7156 8945 17890 19679 35780 39358 51881 78716 98395 103762 196790 207524 259405 393580 518810 570691 1037620 1141382 2282764 2853455 5706910 11413820