Search a number
-
+
640953960 = 233537241599
BaseRepresentation
bin100110001101000…
…010111001101000
31122200001211112120
4212031002321220
52303041011320
6143333511240
721612006303
oct4615027150
91580054476
10640953960
112a9890219
1215a7a2520
13a2a376ca
14611a7b3a
153b40c440
hex26342e68

640953960 has 128 divisors (see below), whose sum is σ = 1986336000. Its totient is φ = 165335040.

The previous prime is 640953953. The next prime is 640953977. The reversal of 640953960 is 69359046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069741 + ... + 1070339.

It is an arithmetic number, because the mean of its divisors is an integer number (15518250).

Almost surely, 2640953960 is an apocalyptic number.

640953960 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 640953960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993168000).

640953960 is an abundant number, since it is smaller than the sum of its proper divisors (1345382040).

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

640953960 is a wasteful number, since it uses less digits than its factorization.

640953960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 640953960 is about 25317.0685506834. The cubic root of 640953960 is about 862.2018393888.

The spelling of 640953960 in words is "six hundred forty million, nine hundred fifty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 241 296 370 444 482 555 599 723 740 888 964 1110 1198 1205 1446 1480 1797 1928 2220 2396 2410 2892 2995 3594 3615 4440 4792 4820 5784 5990 7188 7230 8917 8985 9640 11980 14376 14460 17834 17970 22163 23960 26751 28920 35668 35940 44326 44585 53502 66489 71336 71880 88652 89170 107004 110815 132978 133755 144359 177304 178340 214008 221630 265956 267510 288718 332445 356680 433077 443260 531912 535020 577436 664890 721795 866154 886520 1070040 1154872 1329780 1443590 1732308 2165385 2659560 2887180 3464616 4330770 5341283 5774360 8661540 10682566 16023849 17323080 21365132 26706415 32047698 42730264 53412830 64095396 80119245 106825660 128190792 160238490 213651320 320476980 640953960