Search a number
-
+
112376592 = 2433594409
BaseRepresentation
bin1101011001010…
…11101100010000
321211110022201000
412230223230100
5212232022332
615052342000
72533120356
oct654535420
9254408630
10112376592
1158485219
1231774900
131a388033
1410cd37d6
159cebb7c
hex6b2bb10

112376592 has 80 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 36815616.

The previous prime is 112376567. The next prime is 112376603. The reversal of 112376592 is 295673211.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 23284 + ... + 27692.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2112376592 is an apocalyptic number.

112376592 is a gapful number since it is divisible by the number (12) 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 112376592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

112376592 is an abundant number, since it is smaller than the sum of its proper divisors (215727408).

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

112376592 is a wasteful number, since it uses less digits than its factorization.

112376592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4473 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 112376592 is about 10600.7826126187. The cubic root of 112376592 is about 482.5681105135.

The spelling of 112376592 in words is "one hundred twelve million, three hundred seventy-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 4409 6372 8496 8818 12744 13227 17636 25488 26454 35272 39681 52908 70544 79362 105816 119043 158724 211632 238086 260131 317448 476172 520262 634896 780393 952344 1040524 1560786 1904688 2081048 2341179 3121572 4162096 4682358 6243144 7023537 9364716 12486288 14047074 18729432 28094148 37458864 56188296 112376592