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68990112 = 2532421569
BaseRepresentation
bin1000001110010…
…11010010100000
311210211001122100
410013023102200
5120130140422
610502410400
71465256232
oct407132240
9153731570
1068990112
1135a41324
121b130a00
13113a6c69
14923c252
1560cb7ac
hex41cb4a0

68990112 has 72 divisors (see below), whose sum is σ = 197002260. Its totient is φ = 22901760.

The previous prime is 68990099. The next prime is 68990123. The reversal of 68990112 is 21109986.

It can be written as a sum of positive squares in 2 ways, for example, as 50637456 + 18352656 = 7116^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120964 + ... + 121532.

Almost surely, 268990112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68990112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98501130).

68990112 is an abundant number, since it is smaller than the sum of its proper divisors (128012148).

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

68990112 is a wasteful number, since it uses less digits than its factorization.

68990112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 68990112 is about 8306.0286539356. The cubic root of 68990112 is about 410.1369996266.

The spelling of 68990112 in words is "sixty-eight million, nine hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421 569 842 1138 1263 1684 1707 2276 2526 3368 3414 3789 4552 5052 5121 6736 6828 7578 9104 10104 10242 13472 13656 15156 18208 20208 20484 27312 30312 40416 40968 54624 60624 81936 121248 163872 239549 479098 718647 958196 1437294 1916392 2155941 2874588 3832784 4311882 5749176 7665568 8623764 11498352 17247528 22996704 34495056 68990112