Search a number
-
+
604125368 = 237111971727
BaseRepresentation
bin100100000000100…
…011100010111000
31120002202202012122
4210000203202320
52214124002433
6135540300412
720653660310
oct4400434270
91502682178
10604125368
11290016370
1214a3a1708
1398211542
145a33c440
1538085198
hex240238b8

604125368 has 128 divisors (see below), whose sum is σ = 1509580800. Its totient is φ = 219542400.

The previous prime is 604125343. The next prime is 604125371. The reversal of 604125368 is 863521406.

It is a super-2 number, since 2×6041253682 = 729934920522270848, 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 31 ways as a sum of consecutive naturals, for example, 830621 + ... + 831347.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2604125368 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 604125368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

604125368 is an abundant number, since it is smaller than the sum of its proper divisors (905455432).

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

604125368 is a wasteful number, since it uses less digits than its factorization.

604125368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 604125368 is about 24578.9618983390. The cubic root of 604125368 is about 845.3612908309.

The spelling of 604125368 in words is "six hundred four million, one hundred twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 71 76 77 88 133 142 152 154 209 266 284 308 418 497 532 568 616 727 781 836 994 1064 1349 1454 1463 1562 1672 1988 2698 2908 2926 3124 3976 5089 5396 5467 5816 5852 6248 7997 9443 10178 10792 10934 11704 13813 14839 15994 18886 20356 21868 27626 29678 31988 37772 40712 43736 51617 55252 55979 59356 63976 75544 96691 103234 103873 110504 111958 118712 151943 193382 206468 207746 223916 303886 361319 386764 412936 415492 447832 567787 607772 722638 773528 830984 980723 1063601 1135574 1215544 1445276 1961446 2127202 2271148 2890552 3922892 3974509 4254404 4542296 6865061 7845784 7949018 8508808 10787953 13730122 15898036 21575906 27460244 31796072 43151812 54920488 75515671 86303624 151031342 302062684 604125368