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11420208 = 2432711117
BaseRepresentation
bin101011100100…
…001000110000
3210111012120200
4223210020300
510410421313
61044435200
7166033032
oct53441060
923435520
1011420208
1164a0198
1239a8b00
13249b127
141733c52
151008b73
hexae4230

11420208 has 60 divisors (see below), whose sum is σ = 32439888. Its totient is φ = 3749760.

The previous prime is 11420203. The next prime is 11420239. The reversal of 11420208 is 80202411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11420203) 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, 9666 + ... + 10782.

Almost surely, 211420208 is an apocalyptic number.

11420208 is a gapful number since it is divisible by the number (18) 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 11420208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219944).

11420208 is an abundant number, since it is smaller than the sum of its proper divisors (21019680).

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

11420208 is a wasteful number, since it uses less digits than its factorization.

11420208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11420208 is about 3379.3798247608. The cubic root of 11420208 is about 225.1946168002.

Adding to 11420208 its reverse (80202411), we get a palindrome (91622619).

It can be divided in two parts, 11420 and 208, that added together give a triangular number (11628 = T152).

The spelling of 11420208 in words is "eleven million, four hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1117 1136 1278 1704 2234 2556 3351 3408 4468 5112 6702 8936 10053 10224 13404 17872 20106 26808 40212 53616 79307 80424 158614 160848 237921 317228 475842 634456 713763 951684 1268912 1427526 1903368 2855052 3806736 5710104 11420208