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11200842 = 235191213
BaseRepresentation
bin101010101110…
…100101001010
3210002001200000
4222232211022
510331411332
61040023430
7164130342
oct52564512
923061600
1011200842
1163603a4
123901b76
132422323
1416b7d22
15eb3b7c
hexaae94a

11200842 has 48 divisors (see below), whose sum is σ = 26513760. Its totient is φ = 3534192.

The previous prime is 11200811. The next prime is 11200843. The reversal of 11200842 is 24800211.

11200842 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 (18).

It is not an unprimeable number, because it can be changed into a prime (11200843) 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, 8628 + ... + 9840.

It is an arithmetic number, because the mean of its divisors is an integer number (552370).

Almost surely, 211200842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256880).

11200842 is an abundant number, since it is smaller than the sum of its proper divisors (15312918).

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

11200842 is a wasteful number, since it uses less digits than its factorization.

11200842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1237 counting only the distinct ones).

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

The square root of 11200842 is about 3346.7659015832. The cubic root of 11200842 is about 223.7433950382.

The spelling of 11200842 in words is "eleven million, two hundred thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1213 1539 2426 3078 3639 4617 7278 9234 10917 21834 23047 32751 46094 65502 69141 98253 138282 196506 207423 294759 414846 589518 622269 1244538 1866807 3733614 5600421 11200842