Search a number
-
+
112326560 = 2555973163
BaseRepresentation
bin1101011000111…
…11011110100000
321211100210001222
412230133132200
5212223422220
615051314212
72532521453
oct654373640
9254323058
10112326560
1158450675
123174b968
131a36b328
1410cbd49a
159cdbe25
hex6b1f7a0

112326560 has 96 divisors (see below), whose sum is σ = 275244480. Its totient is φ = 43296768.

The previous prime is 112326553. The next prime is 112326563. The reversal of 112326560 is 65623211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112326563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689039 + ... + 689201.

It is an arithmetic number, because the mean of its divisors is an integer number (2867130).

Almost surely, 2112326560 is an apocalyptic number.

112326560 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 112326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137622240).

112326560 is an abundant number, since it is smaller than the sum of its proper divisors (162917920).

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

112326560 is a wasteful number, since it uses less digits than its factorization.

112326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 112326560 is about 10598.4225241307. The cubic root of 112326560 is about 482.4964839963.

Adding to 112326560 its reverse (65623211), we get a palindrome (177949771).

The spelling of 112326560 in words is "one hundred twelve million, three hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 73 80 118 146 160 163 236 292 295 326 365 472 584 590 652 730 815 944 1168 1180 1304 1460 1630 1888 2336 2360 2608 2920 3260 4307 4720 5216 5840 6520 8614 9440 9617 11680 11899 13040 17228 19234 21535 23798 26080 34456 38468 43070 47596 48085 59495 68912 76936 86140 95192 96170 118990 137824 153872 172280 190384 192340 237980 307744 344560 380768 384680 475960 689120 702041 769360 951920 1404082 1538720 1903840 2808164 3510205 5616328 7020410 11232656 14040820 22465312 28081640 56163280 112326560