Search a number
-
+
159513840 = 2433573849
BaseRepresentation
bin10011000000111…
…11110011110000
3102010011010212000
421200133303300
5311313420330
623454534000
73644562633
oct1140376360
9363133760
10159513840
1182050122
1245507300
13270803b5
1417283c1a
15e00d560
hex981fcf0

159513840 has 80 divisors (see below), whose sum is σ = 549444000. Its totient is φ = 42536448.

The previous prime is 159513829. The next prime is 159513847. The reversal of 159513840 is 48315951.

159513840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 159513795 and 159513804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159513847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34765 + ... + 39084.

It is an arithmetic number, because the mean of its divisors is an integer number (6868050).

Almost surely, 2159513840 is an apocalyptic number.

159513840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159513840 is an abundant number, since it is smaller than the sum of its proper divisors (389930160).

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

159513840 is a wasteful number, since it uses less digits than its factorization.

159513840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73871 (or 73859 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 159513840 is about 12629.8788592765. The cubic root of 159513840 is about 542.3331149415. Note that the first 3 decimals are identical.

It can be divided in two parts, 15951 and 3840, that added together give a palindrome (19791).

The spelling of 159513840 in words is "one hundred fifty-nine million, five hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 73849 147698 221547 295396 369245 443094 590792 664641 738490 886188 1107735 1181584 1329282 1476980 1772376 1993923 2215470 2658564 2953960 3323205 3544752 3987846 4430940 5317128 5907920 6646410 7975692 8861880 9969615 10634256 13292820 15951384 17723760 19939230 26585640 31902768 39878460 53171280 79756920 159513840