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606661104 = 24376129599
BaseRepresentation
bin100100001010001…
…110100111110000
31120021112120120210
4210022032213300
52220301123404
6140110504120
721014351160
oct4412164760
91507476523
10606661104
11291498515
1214b205040
13988bb78a
145a7dc5a0
15383d6689
hex2428e9f0

606661104 has 80 divisors (see below), whose sum is σ = 1820518400. Its totient is φ = 170484480.

The previous prime is 606661079. The next prime is 606661123. The reversal of 606661104 is 401166606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5697 + ... + 35295.

It is an arithmetic number, because the mean of its divisors is an integer number (22756480).

Almost surely, 2606661104 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 606661104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910259200).

606661104 is an abundant number, since it is smaller than the sum of its proper divisors (1213857296).

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

606661104 is a wasteful number, since it uses less digits than its factorization.

606661104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29678 (or 29672 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 606661104 is about 24630.4913471088. The cubic root of 606661104 is about 846.5424037636.

The spelling of 606661104 in words is "six hundred six million, six hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 10248 20496 29599 59198 88797 118396 177594 207193 236792 355188 414386 473584 621579 710376 828772 1243158 1420752 1657544 1805539 2486316 3315088 3611078 4972632 5416617 7222156 9945264 10833234 12638773 14444312 21666468 25277546 28888624 37916319 43332936 50555092 75832638 86665872 101110184 151665276 202220368 303330552 606661104