Search a number
-
+
112407426 = 23731829
BaseRepresentation
bin1101011001100…
…11001110000010
321211111220000000
412230303032002
5212234014201
615053140430
72533306305
oct654631602
9254456000
10112407426
11584a63aa
123178a716
131a399091
1410d00b3c
159d05d86
hex6b33382

112407426 has 64 divisors (see below), whose sum is σ = 261350400. Its totient is φ = 36216720.

The previous prime is 112407403. The next prime is 112407433. The reversal of 112407426 is 624704211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112407426.

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 31 ways as a sum of consecutive naturals, for example, 135180 + ... + 136008.

It is an arithmetic number, because the mean of its divisors is an integer number (4083600).

Almost surely, 2112407426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112407426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130675200).

112407426 is an abundant number, since it is smaller than the sum of its proper divisors (148942974).

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

112407426 is an frugal number, since it uses more digits than its factorization.

112407426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 112407426 is about 10602.2368394599. The cubic root of 112407426 is about 482.6122423152.

The spelling of 112407426 in words is "one hundred twelve million, four hundred seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 829 837 1458 1658 1674 2187 2487 2511 4374 4974 5022 7461 7533 14922 15066 22383 22599 25699 44766 45198 51398 67149 67797 77097 134298 135594 154194 201447 231291 402894 462582 604341 693873 1208682 1387746 1813023 2081619 3626046 4163238 6244857 12489714 18734571 37469142 56203713 112407426