Search a number
-
+
112495872 = 283295051
BaseRepresentation
bin1101011010010…
…00110100000000
321211200101022210
412231020310000
5212244331442
615055102120
72534125206
oct655106400
9254611283
10112495872
11585568a5
1231811940
131a3ca408
1410d25076
159d2219c
hex6b48d00

112495872 has 72 divisors (see below), whose sum is σ = 309788640. Its totient is φ = 36198400.

The previous prime is 112495861. The next prime is 112495891. The reversal of 112495872 is 278594211.

It is a self number, because there is not a number n which added to its sum of digits gives 112495872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19747 + ... + 24797.

It is an arithmetic number, because the mean of its divisors is an integer number (4302620).

Almost surely, 2112495872 is an apocalyptic number.

112495872 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 112495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154894320).

112495872 is an abundant number, since it is smaller than the sum of its proper divisors (197292768).

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

112495872 is an equidigital number, since it uses as much as digits as its factorization.

112495872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5085 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 112495872 is about 10606.4071202269. The cubic root of 112495872 is about 482.7387877266.

The spelling of 112495872 in words is "one hundred twelve million, four hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5051 5568 7424 10102 11136 15153 20204 22272 30306 40408 60612 80816 121224 146479 161632 242448 292958 323264 439437 484896 585916 646528 878874 969792 1171832 1293056 1757748 1939584 2343664 3515496 3879168 4687328 7030992 9374656 14061984 18749312 28123968 37498624 56247936 112495872