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11400220 = 22513163269
BaseRepresentation
bin101011011111…
…010000011100
3210110012011101
4223133100130
510404301340
61044202444
7165620536
oct53372034
923405141
1011400220
116487177
123999424
132491cc0
14172a856
151002c9a
hexadf41c

11400220 has 48 divisors (see below), whose sum is σ = 26036640. Its totient is φ = 4167936.

The previous prime is 11400199. The next prime is 11400223. The reversal of 11400220 is 2200411.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11400197 and 11400206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400223) by changing a digit.

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, 42246 + ... + 42514.

It is an arithmetic number, because the mean of its divisors is an integer number (542430).

Almost surely, 211400220 is an apocalyptic number.

11400220 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 11400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018320).

11400220 is an abundant number, since it is smaller than the sum of its proper divisors (14636420).

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

11400220 is a wasteful number, since it uses less digits than its factorization.

11400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11400220 is about 3376.4211822579. The cubic root of 11400220 is about 225.0631592238.

Adding to 11400220 its reverse (2200411), we get a palindrome (13600631).

The spelling of 11400220 in words is "eleven million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 269 326 538 652 815 1076 1345 1630 2119 2690 3260 3497 4238 5380 6994 8476 10595 13988 17485 21190 34970 42380 43847 69940 87694 175388 219235 438470 570011 876940 1140022 2280044 2850055 5700110 11400220