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11884842 = 2321923159
BaseRepresentation
bin101101010101…
…100100101010
3211100210221100
4231111210222
511020303332
61102422230
7203006454
oct55254452
924323840
1011884842
116788292
123b91976
132601768
1418152d4
15109b67c
hexb5592a

11884842 has 72 divisors (see below), whose sum is σ = 28529280. Its totient is φ = 3570480.

The previous prime is 11884837. The next prime is 11884897. The reversal of 11884842 is 24848811.

It is a happy number.

11884842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11884797 and 11884806.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201409 + ... + 201467.

It is an arithmetic number, because the mean of its divisors is an integer number (396240).

Almost surely, 211884842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11884842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

11884842 is an abundant number, since it is smaller than the sum of its proper divisors (16644438).

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

11884842 is a wasteful number, since it uses less digits than its factorization.

11884842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 11884842 is about 3447.4399197085. The cubic root of 11884842 is about 228.2081432596.

The spelling of 11884842 in words is "eleven million, eight hundred eighty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 59 62 93 114 118 171 177 186 279 342 354 361 531 558 589 722 1062 1083 1121 1178 1767 1829 2166 2242 3249 3363 3534 3658 5301 5487 6498 6726 10089 10602 10974 11191 16461 20178 21299 22382 32922 33573 34751 42598 63897 67146 69502 100719 104253 127794 191691 201438 208506 312759 383382 625518 660269 1320538 1980807 3961614 5942421 11884842