Search a number
-
+
112636140 = 223537113449
BaseRepresentation
bin1101011011010…
…11000011101100
321211221111201220
412231223003230
5212313324030
615102103340
72535251151
oct655530354
9254844656
10112636140
1158642221
123187ab50
131a449206
1410d60228
159d4da10
hex6b6b0ec

112636140 has 96 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 28901376.

The previous prime is 112636127. The next prime is 112636157. The reversal of 112636140 is 41636211.

It is a self number, because there is not a number n which added to its sum of digits gives 112636140.

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, 250636 + ... + 251084.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2112636140 is an apocalyptic number.

112636140 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 112636140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

112636140 is an abundant number, since it is smaller than the sum of its proper divisors (214863060).

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

112636140 is a wasteful number, since it uses less digits than its factorization.

112636140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 112636140 is about 10613.0174785496. The cubic root of 112636140 is about 482.9393422877.

The spelling of 112636140 in words is "one hundred twelve million, six hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 113 148 185 222 226 339 370 444 449 452 555 565 678 740 898 1110 1130 1347 1356 1695 1796 2220 2245 2260 2694 3390 4181 4490 5388 6735 6780 8362 8980 12543 13470 16613 16724 20905 25086 26940 33226 41810 49839 50172 50737 62715 66452 83065 83620 99678 101474 125430 152211 166130 199356 202948 249195 250860 253685 304422 332260 498390 507370 608844 761055 996780 1014740 1522110 1877269 3044220 3754538 5631807 7509076 9386345 11263614 18772690 22527228 28159035 37545380 56318070 112636140