Search a number
-
+
112293760 = 275792221
BaseRepresentation
bin1101011000101…
…11011110000000
321211022010002011
412230113132000
5212221400020
615050502304
72532324025
oct654273600
9254263064
10112293760
1158428a67
1231734994
131a359417
1410cb154c
159cd235a
hex6b17780

112293760 has 64 divisors (see below), whose sum is σ = 271972800. Its totient is φ = 44328960.

The previous prime is 112293757. The next prime is 112293767. The reversal of 112293760 is 67392211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112293767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49450 + ... + 51670.

It is an arithmetic number, because the mean of its divisors is an integer number (4249575).

Almost surely, 2112293760 is an apocalyptic number.

112293760 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 112293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135986400).

112293760 is an abundant number, since it is smaller than the sum of its proper divisors (159679040).

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

112293760 is an equidigital number, since it uses as much as digits as its factorization.

112293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 112293760 is about 10596.8750110587. The cubic root of 112293760 is about 482.4495155104.

The spelling of 112293760 in words is "one hundred twelve million, two hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 632 640 790 1264 1580 2221 2528 3160 4442 5056 6320 8884 10112 11105 12640 17768 22210 25280 35536 44420 50560 71072 88840 142144 175459 177680 284288 350918 355360 701836 710720 877295 1403672 1421440 1754590 2807344 3509180 5614688 7018360 11229376 14036720 22458752 28073440 56146880 112293760