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159054840 = 2334577013
BaseRepresentation
bin10010111101011…
…11101111111000
3102002021211020000
421132233233320
5311204223330
623441033000
73640641510
oct1136575770
9362254200
10159054840
118186728a
1245325760
1326c4c4b9
14171a4840
15de6c560
hex97afbf8

159054840 has 160 divisors (see below), whose sum is σ = 611059680. Its totient is φ = 36350208.

The previous prime is 159054827. The next prime is 159054881. The reversal of 159054840 is 48450951.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 159054795 and 159054804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19174 + ... + 26186.

It is an arithmetic number, because the mean of its divisors is an integer number (3819123).

Almost surely, 2159054840 is an apocalyptic number.

159054840 is a gapful number since it is divisible by the number (10) 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 159054840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305529840).

159054840 is an abundant number, since it is smaller than the sum of its proper divisors (452004840).

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

159054840 is a wasteful number, since it uses less digits than its factorization.

159054840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 159054840 is about 12611.6945728954. The cubic root of 159054840 is about 541.8124285696.

The spelling of 159054840 in words is "one hundred fifty-nine million, fifty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7013 7560 11340 14026 21039 22680 28052 35065 42078 49091 56104 63117 70130 84156 98182 105195 126234 140260 147273 168312 189351 196364 210390 245455 252468 280520 294546 315585 378702 392728 420780 441819 490910 504936 568053 589092 631170 736365 757404 841560 883638 946755 981820 1136106 1178184 1262340 1325457 1472730 1514808 1767276 1893510 1963640 2209095 2272212 2524680 2650914 2840265 2945460 3534552 3787020 3976371 4418190 4544424 5301828 5680530 5890920 6627285 7574040 7952742 8836380 10603656 11361060 13254570 15905484 17672760 19881855 22722120 26509140 31810968 39763710 53018280 79527420 159054840