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11420200 = 23521129179
BaseRepresentation
bin101011100100…
…001000101000
3210111012120101
4223210020220
510410421300
61044435144
7166033021
oct53441050
923435511
1011420200
1164a0190
1239a8ab4
13249b11c
141733c48
151008b6a
hexae4228

11420200 has 96 divisors (see below), whose sum is σ = 30132000. Its totient is φ = 3987200.

The previous prime is 11420179. The next prime is 11420203. The reversal of 11420200 is 202411.

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

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 23 ways as a sum of consecutive naturals, for example, 63711 + ... + 63889.

It is an arithmetic number, because the mean of its divisors is an integer number (313875).

Almost surely, 211420200 is an apocalyptic number.

11420200 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 11420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066000).

11420200 is an abundant number, since it is smaller than the sum of its proper divisors (18711800).

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

11420200 is a wasteful number, since it uses less digits than its factorization.

11420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

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

The square root of 11420200 is about 3379.3786411114. The cubic root of 11420200 is about 225.1945642163.

Adding to 11420200 its reverse (202411), we get a palindrome (11622611).

The spelling of 11420200 in words is "eleven million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 179 200 220 232 275 290 319 358 440 550 580 638 716 725 895 1100 1160 1276 1432 1450 1595 1790 1969 2200 2552 2900 3190 3580 3938 4475 5191 5800 6380 7160 7876 7975 8950 9845 10382 12760 15752 15950 17900 19690 20764 25955 31900 35800 39380 41528 49225 51910 57101 63800 78760 98450 103820 114202 129775 196900 207640 228404 259550 285505 393800 456808 519100 571010 1038200 1142020 1427525 2284040 2855050 5710100 11420200