Search a number
-
+
605745088 = 261317113379
BaseRepresentation
bin100100000110101…
…110111111000000
31120012211001001021
4210012232333000
52220032320323
6140035115224
721003514444
oct4406567700
91505731037
10605745088
11290a22283
1214aa42b14
139865a860
145a640824
15382a505d
hex241aefc0

605745088 has 112 divisors (see below), whose sum is σ = 1386413280. Its totient is φ = 260112384.

The previous prime is 605745079. The next prime is 605745097. The reversal of 605745088 is 880547506.

It is an interprime number because it is at equal distance from previous prime (605745079) and next prime (605745097).

It is a super-2 number, since 2×6057450882 = 733854223272255488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1598083 + ... + 1598461.

It is an arithmetic number, because the mean of its divisors is an integer number (12378690).

Almost surely, 2605745088 is an apocalyptic number.

605745088 is a gapful number since it is divisible by the number (68) 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 605745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693206640).

605745088 is an abundant number, since it is smaller than the sum of its proper divisors (780668192).

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

605745088 is a wasteful number, since it uses less digits than its factorization.

605745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 605745088 is about 24611.8891595099. The cubic root of 605745088 is about 846.1161157866.

The spelling of 605745088 in words is "six hundred five million, seven hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 113 136 208 221 226 272 379 416 442 452 544 758 832 884 904 1088 1469 1516 1768 1808 1921 2938 3032 3536 3616 3842 4927 5876 6064 6443 7072 7232 7684 9854 11752 12128 12886 14144 15368 19708 23504 24256 24973 25772 30736 39416 42827 47008 49946 51544 61472 78832 83759 85654 94016 99892 103088 122944 157664 167518 171308 199784 206176 315328 335036 342616 399568 412352 556751 670072 685232 728059 799136 1113502 1340144 1370464 1456118 1598272 2227004 2680288 2740928 2912236 4454008 5360576 5824472 8908016 9464767 11648944 17816032 18929534 23297888 35632064 37859068 46595776 75718136 151436272 302872544 605745088