Search a number
-
+
112025320 = 235113143191
BaseRepresentation
bin1101010110101…
…01111011101000
321210210110211221
412223111323220
5212134302240
615041031424
72530125301
oct653257350
9253713757
10112025320
1158265310
1231625574
131a294194
1410c417a8
159c7ca4a
hex6ad5ee8

112025320 has 128 divisors (see below), whose sum is σ = 291962880. Its totient is φ = 38304000.

The previous prime is 112025297. The next prime is 112025357. The reversal of 112025320 is 23520211.

It is a super-2 number, since 2×1120253202 = 25099344642204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112025294 and 112025303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586425 + ... + 586615.

It is an arithmetic number, because the mean of its divisors is an integer number (2280960).

Almost surely, 2112025320 is an apocalyptic number.

112025320 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 112025320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145981440).

112025320 is an abundant number, since it is smaller than the sum of its proper divisors (179937560).

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

112025320 is a wasteful number, since it uses less digits than its factorization.

112025320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 112025320 is about 10584.2014342132. The cubic root of 112025320 is about 482.0647743851.

Adding to 112025320 its reverse (23520211), we get a palindrome (135545531).

The spelling of 112025320 in words is "one hundred twelve million, twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 43 44 55 62 86 88 110 124 155 172 191 215 220 248 310 341 344 382 430 440 473 620 682 764 860 946 955 1240 1333 1364 1528 1705 1720 1892 1910 2101 2365 2666 2728 3410 3784 3820 4202 4730 5332 5921 6665 6820 7640 8213 8404 9460 10505 10664 11842 13330 13640 14663 16426 16808 18920 21010 23684 26660 29326 29605 32852 41065 42020 47368 53320 58652 59210 65131 65704 73315 82130 84040 90343 117304 118420 130262 146630 164260 180686 236840 254603 260524 293260 325655 328520 361372 451715 509206 521048 586520 651310 722744 903430 1018412 1273015 1302620 1806860 2036824 2546030 2605240 2800633 3613720 5092060 5601266 10184120 11202532 14003165 22405064 28006330 56012660 112025320