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10842112 = 2122647
BaseRepresentation
bin101001010111…
…000000000000
3202101211120201
4221113000000
510233421422
61024214544
7161104441
oct51270000
922354521
1010842112
116135926
12376a454
132327c68
1416232c8
15e42727
hexa57000

10842112 has 26 divisors (see below), whose sum is σ = 21689768. Its totient is φ = 5419008.

The previous prime is 10842109. The next prime is 10842113. The reversal of 10842112 is 21124801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10842112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10842113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2773 + ... + 5419.

Almost surely, 210842112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844884).

10842112 is an abundant number, since it is smaller than the sum of its proper divisors (10847656).

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

10842112 is an frugal number, since it uses more digits than its factorization.

10842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10842112 is about 3292.7362481681. The cubic root of 10842112 is about 221.3288171850.

Adding to 10842112 its reverse (21124801), we get a palindrome (31966913).

The spelling of 10842112 in words is "ten million, eight hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2647 4096 5294 10588 21176 42352 84704 169408 338816 677632 1355264 2710528 5421056 10842112