Search a number
-
+
641712840 = 233519833391
BaseRepresentation
bin100110001111111…
…100001011001000
31122201111101112020
4212033330023020
52303234302330
6143402044440
721621316626
oct4617741310
91581441466
10641712840
112aa25939a
1215aaa9720
13a2c41c52
1461324516
153b50c210
hex263fc2c8

641712840 has 128 divisors (see below), whose sum is σ = 2051481600. Its totient is φ = 160116480.

The previous prime is 641712791. The next prime is 641712871. The reversal of 641712840 is 48217146.

641712840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 187545 + ... + 190935.

It is an arithmetic number, because the mean of its divisors is an integer number (16027200).

Almost surely, 2641712840 is an apocalyptic number.

641712840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641712840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025740800).

641712840 is an abundant number, since it is smaller than the sum of its proper divisors (1409768760).

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

641712840 is a wasteful number, since it uses less digits than its factorization.

641712840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 641712840 is about 25332.0516342439. The cubic root of 641712840 is about 862.5419832536.

Adding to 641712840 its reverse (48217146), we get a palindrome (689929986).

The spelling of 641712840 in words is "six hundred forty-one million, seven hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 83 95 114 120 152 166 190 228 249 285 332 380 415 456 498 570 664 760 830 996 1140 1245 1577 1660 1992 2280 2490 3154 3320 3391 4731 4980 6308 6782 7885 9462 9960 10173 12616 13564 15770 16955 18924 20346 23655 27128 31540 33910 37848 40692 47310 50865 63080 64429 67820 81384 94620 101730 128858 135640 189240 193287 203460 257716 281453 322145 386574 406920 515432 562906 644290 773148 844359 966435 1125812 1288580 1407265 1546296 1688718 1932870 2251624 2577160 2814530 3377436 3865740 4221795 5347607 5629060 6754872 7731480 8443590 10695214 11258120 16042821 16887180 21390428 26738035 32085642 33774360 42780856 53476070 64171284 80214105 106952140 128342568 160428210 213904280 320856420 641712840