Search a number
-
+
605104032 = 25313716829
BaseRepresentation
bin100100000100010…
…010011110100000
31120011121110200110
4210010102132200
52214401312112
6140013251320
720665204461
oct4404223640
91504543613
10605104032
11290624685
1214a793b40
1398494b30
145a514d68
15381ca13c
hex241127a0

605104032 has 96 divisors (see below), whose sum is σ = 1734929280. Its totient is φ = 183536640.

The previous prime is 605103979. The next prime is 605104051. The reversal of 605104032 is 230401506.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 85194 + ... + 92022.

It is an arithmetic number, because the mean of its divisors is an integer number (18072180).

Almost surely, 2605104032 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 605104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867464640).

605104032 is an abundant number, since it is smaller than the sum of its proper divisors (1129825248).

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

605104032 is a wasteful number, since it uses less digits than its factorization.

605104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 605104032 is about 24598.8624127214. The cubic root of 605104032 is about 845.8175307446.

Adding to 605104032 its reverse (230401506), we get a palindrome (835505538).

The spelling of 605104032 in words is "six hundred five million, one hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1248 1704 1846 2272 2769 3408 3692 5538 6816 6829 7384 11076 13658 14768 20487 22152 27316 29536 40974 44304 54632 81948 88608 88777 109264 163896 177554 218528 266331 327792 355108 484859 532662 655584 710216 969718 1065324 1420432 1454577 1939436 2130648 2840864 2909154 3878872 4261296 5818308 6303167 7757744 8522592 11636616 12606334 15515488 18909501 23273232 25212668 37819002 46546464 50425336 75638004 100850672 151276008 201701344 302552016 605104032