Search a number
-
+
671983360 = 2852943421
BaseRepresentation
bin101000000011011…
…010011100000000
31201211110021212121
4220003122130000
52334011431420
6150402534024
722436523106
oct5003323400
91654407777
10671983360
11315354054
12169067314
13a92b00b9
1465363c76
153dedb2aa
hex280da700

671983360 has 144 divisors (see below), whose sum is σ = 1707884640. Its totient is φ = 252887040.

The previous prime is 671983357. The next prime is 671983379. The reversal of 671983360 is 63389176.

It is a super-2 number, since 2×6719833602 = 903123272233779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

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, 1595950 + ... + 1596370.

It is an arithmetic number, because the mean of its divisors is an integer number (11860310).

Almost surely, 2671983360 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 671983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853942320).

671983360 is an abundant number, since it is smaller than the sum of its proper divisors (1035901280).

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

671983360 is a wasteful number, since it uses less digits than its factorization.

671983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 671983360 is about 25922.6418406767. The cubic root of 671983360 is about 875.8965982355.

The spelling of 671983360 in words is "six hundred seventy-one million, nine hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 43 58 64 80 86 116 128 145 160 172 215 232 256 290 320 344 421 430 464 580 640 688 842 860 928 1160 1247 1280 1376 1684 1720 1856 2105 2320 2494 2752 3368 3440 3712 4210 4640 4988 5504 6235 6736 6880 7424 8420 9280 9976 11008 12209 12470 13472 13760 16840 18103 18560 19952 24418 24940 26944 27520 33680 36206 37120 39904 48836 49880 53888 55040 61045 67360 72412 79808 90515 97672 99760 107776 122090 134720 144824 159616 181030 195344 199520 244180 269440 289648 319232 362060 390688 399040 488360 524987 538880 579296 724120 781376 798080 976720 1049974 1158592 1448240 1562752 1596160 1953440 2099948 2317184 2624935 2896480 3125504 3906880 4199896 4634368 5249870 5792960 7813760 8399792 10499740 11585920 15627520 16799584 20999480 23171840 33599168 41998960 67198336 83997920 134396672 167995840 335991680 671983360