Search a number
-
+
6870948720 = 24351910314629
BaseRepresentation
bin1100110011000101…
…00101101101110000
3122201211220100201020
412121202211231300
5103032430324340
63053444135440
7332161046316
oct63142455560
918654810636
106870948720
112a06520519
1213b9097580
1385666023c
144927660b6
152a33269d0
hex1998a5b70

6870948720 has 160 divisors (see below), whose sum is σ = 22640217600. Its totient is φ = 1718848512.

The previous prime is 6870948697. The next prime is 6870948751. The reversal of 6870948720 is 278490786.

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, 462366 + ... + 476994.

It is an arithmetic number, because the mean of its divisors is an integer number (141501360).

Almost surely, 26870948720 is an apocalyptic number.

6870948720 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 6870948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11320108800).

6870948720 is an abundant number, since it is smaller than the sum of its proper divisors (15769268880).

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

6870948720 is a wasteful number, since it uses less digits than its factorization.

6870948720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14767 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 6870948720 is about 82891.1860211929. The cubic root of 6870948720 is about 1901.1026581981.

The spelling of 6870948720 in words is "six billion, eight hundred seventy million, nine hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 103 114 120 152 190 206 228 240 285 304 309 380 412 456 515 570 618 760 824 912 1030 1140 1236 1520 1545 1648 1957 2060 2280 2472 3090 3914 4120 4560 4944 5871 6180 7828 8240 9785 11742 12360 14629 15656 19570 23484 24720 29258 29355 31312 39140 43887 46968 58516 58710 73145 78280 87774 93936 117032 117420 146290 156560 175548 219435 234064 234840 277951 292580 351096 438870 469680 555902 585160 702192 833853 877740 1111804 1170320 1389755 1506787 1667706 1755480 2223608 2779510 3013574 3335412 3510960 4169265 4447216 4520361 5559020 6027148 6670824 7533935 8338530 9040722 11118040 12054296 13341648 15067870 16677060 18081444 22236080 22601805 24108592 28628953 30135740 33354120 36162888 45203610 57257906 60271480 66708240 72325776 85886859 90407220 114515812 120542960 143144765 171773718 180814440 229031624 286289530 343547436 361628880 429434295 458063248 572579060 687094872 858868590 1145158120 1374189744 1717737180 2290316240 3435474360 6870948720