Search a number
-
+
604201680 = 2434593241
BaseRepresentation
bin100100000000110…
…110001011010000
31120002220121220000
4210000312023100
52214133423210
6135542050000
720654425635
oct4400661320
91502817800
10604201680
11290068735
1214a419900
139823a1b4
145a35c18c
153809cac0
hex240362d0

604201680 has 100 divisors (see below), whose sum is σ = 2098504452. Its totient is φ = 161118720.

The previous prime is 604201679. The next prime is 604201681. The reversal of 604201680 is 86102406.

It is an interprime number because it is at equal distance from previous prime (604201679) and next prime (604201681).

It can be written as a sum of positive squares in 2 ways, for example, as 346406544 + 257795136 = 18612^2 + 16056^2 .

It is a super-2 number, since 2×6042016802 = 730119340229644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604201681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40141 + ... + 53100.

Almost surely, 2604201680 is an apocalyptic number.

604201680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

604201680 is an abundant number, since it is smaller than the sum of its proper divisors (1494302772).

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

604201680 is a wasteful number, since it uses less digits than its factorization.

604201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93266 (or 93251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 604201680 is about 24580.5142338398. The cubic root of 604201680 is about 845.3968841576.

The spelling of 604201680 in words is "six hundred four million, two hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 93241 186482 279723 372964 466205 559446 745928 839169 932410 1118892 1398615 1491856 1678338 1864820 2237784 2517507 2797230 3356676 3729640 4195845 4475568 5035014 5594460 6713352 7459280 7552521 8391690 10070028 11188920 12587535 13426704 15105042 16783380 20140056 22377840 25175070 30210084 33566760 37762605 40280112 50350140 60420168 67133520 75525210 100700280 120840336 151050420 201400560 302100840 604201680