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1112057406 = 232238332363
BaseRepresentation
bin100001001001000…
…1010011000111110
32212111112100222100
41002102022120332
54234141314111
6302203125530
736362221605
oct10222123076
92774470870
101112057406
11520800209
122705138a6
13149512b45
14a799aa3c
1567968756
hex4248a63e

1112057406 has 48 divisors (see below), whose sum is σ = 2544587136. Its totient is φ = 350286288.

The previous prime is 1112057381. The next prime is 1112057413. The reversal of 1112057406 is 6047502111.

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 1112057406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18181 + ... + 50543.

It is an arithmetic number, because the mean of its divisors is an integer number (53012232).

Almost surely, 21112057406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112057406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272293568).

1112057406 is an abundant number, since it is smaller than the sum of its proper divisors (1432529730).

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

1112057406 is a wasteful number, since it uses less digits than its factorization.

1112057406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32477 (or 32474 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1112057406 is about 33347.5247357281. The cubic root of 1112057406 is about 1036.0381210413.

Adding to 1112057406 its reverse (6047502111), we get a palindrome (7159559517).

The spelling of 1112057406 in words is "one billion, one hundred twelve million, fifty-seven thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 83 138 166 207 249 414 498 747 1494 1909 3818 5727 11454 17181 32363 34362 64726 97089 194178 291267 582534 744349 1488698 2233047 2686129 4466094 5372258 6699141 8058387 13398282 16116774 24175161 48350322 61780967 123561934 185342901 370685802 556028703 1112057406