Search a number
-
+
8159059920 = 2435116175009
BaseRepresentation
bin1111001100101000…
…10101111111010000
3210001121201012002110
413212110111333100
5113202204404140
63425340545320
7406121602464
oct74624257720
923047635073
108159059920
113507638530
1216b8552240
13a00494a0b
145758704a4
1532b469380
hex1e6515fd0

8159059920 has 160 divisors (see below), whose sum is σ = 27642695040. Its totient is φ = 1974353920.

The previous prime is 8159059903. The next prime is 8159059963. The reversal of 8159059920 is 299509518.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8159059920.

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, 1626376 + ... + 1631384.

It is an arithmetic number, because the mean of its divisors is an integer number (172766844).

Almost surely, 28159059920 is an apocalyptic number.

8159059920 is a gapful number since it is divisible by the number (80) 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 8159059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821347520).

8159059920 is an abundant number, since it is smaller than the sum of its proper divisors (19483635120).

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

8159059920 is a wasteful number, since it uses less digits than its factorization.

8159059920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The square root of 8159059920 is about 90327.5147449547. The cubic root of 8159059920 is about 2013.1681035794.

The spelling of 8159059920 in words is "eight billion, one hundred fifty-nine million, fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 617 660 880 1234 1320 1851 2468 2640 3085 3702 4936 5009 6170 6787 7404 9255 9872 10018 12340 13574 14808 15027 18510 20036 20361 24680 25045 27148 29616 30054 33935 37020 40072 40722 49360 50090 54296 55099 60108 67870 74040 75135 80144 81444 100180 101805 108592 110198 120216 135740 148080 150270 162888 165297 200360 203610 220396 240432 271480 275495 300540 325776 330594 400720 407220 440792 542960 550990 601080 661188 814440 826485 881584 1101980 1202160 1322376 1628880 1652970 2203960 2644752 3090553 3305940 4407920 6181106 6611880 9271659 12362212 13223760 15452765 18543318 24724424 30905530 33996083 37086636 46358295 49448848 61811060 67992166 74173272 92716590 101988249 123622120 135984332 148346544 169980415 185433180 203976498 247244240 271968664 339960830 370866360 407952996 509941245 543937328 679921660 741732720 815905992 1019882490 1359843320 1631811984 2039764980 2719686640 4079529960 8159059920