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605045920 = 25510934693
BaseRepresentation
bin100100000100000…
…100010010100000
31120011111111222011
4210010010102200
52214342432140
6140012122304
720664543163
oct4404042240
91504444864
10605045920
11290594a56
1214a766394
139847454b
145a4dbada
15381b7cea
hex241044a0

605045920 has 48 divisors (see below), whose sum is σ = 1442576520. Its totient is φ = 239791104.

The previous prime is 605045893. The next prime is 605045921. The reversal of 605045920 is 29540506.

It can be written as a sum of positive squares in 4 ways, for example, as 556771216 + 48274704 = 23596^2 + 6948^2 .

It is not an unprimeable number, because it can be changed into a prime (605045921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 34786.

Almost surely, 2605045920 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 605045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721288260).

605045920 is an abundant number, since it is smaller than the sum of its proper divisors (837530600).

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

605045920 is a wasteful number, since it uses less digits than its factorization.

605045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34817 (or 34809 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 605045920 is about 24597.6811915270. The cubic root of 605045920 is about 845.7904534602.

The spelling of 605045920 in words is "six hundred five million, forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 8720 17440 34693 69386 138772 173465 277544 346930 555088 693860 1110176 1387720 2775440 3781537 5550880 7563074 15126148 18907685 30252296 37815370 60504592 75630740 121009184 151261480 302522960 605045920