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68441136 = 2434183419
BaseRepresentation
bin1000001010001…
…01010000110000
311202210011120220
410011011100300
5120010104021
610442533040
71460511561
oct405052060
9152704526
1068441136
11356a6925
121ab07180
131124411a
149138168
15601dcc6
hex4145430

68441136 has 80 divisors (see below), whose sum is σ = 183738240. Its totient is φ = 21936640.

The previous prime is 68441117. The next prime is 68441137. The reversal of 68441136 is 63114486.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68441097 and 68441106.

It is not an unprimeable number, because it can be changed into a prime (68441137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163135 + ... + 163553.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728).

Almost surely, 268441136 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 68441136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

68441136 is an abundant number, since it is smaller than the sum of its proper divisors (115297104).

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

68441136 is a wasteful number, since it uses less digits than its factorization.

68441136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 68441136 is about 8272.9158100394. The cubic root of 68441136 is about 409.0462383188.

The spelling of 68441136 in words is "sixty-eight million, four hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 83 123 164 166 246 249 328 332 419 492 498 656 664 838 984 996 1257 1328 1676 1968 1992 2514 3352 3403 3984 5028 6704 6806 10056 10209 13612 17179 20112 20418 27224 34358 34777 40836 51537 54448 68716 69554 81672 103074 104331 137432 139108 163344 206148 208662 274864 278216 412296 417324 556432 824592 834648 1425857 1669296 2851714 4277571 5703428 8555142 11406856 17110284 22813712 34220568 68441136