Search a number
-
+
80959860 = 22325835419
BaseRepresentation
bin1001101001101…
…01100101110100
312122100012001100
410310311211310
5131211203420
612011130100
72002101402
oct464654564
9178305040
1080959860
1141777383
1223143930
1313a08257
14aa76472
157193190
hex4d35974

80959860 has 72 divisors (see below), whose sum is σ = 248582880. Its totient is φ = 21325248.

The previous prime is 80959849. The next prime is 80959889. The reversal of 80959860 is 6895908.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12231 + ... + 17649.

It is an arithmetic number, because the mean of its divisors is an integer number (3452540).

Almost surely, 280959860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80959860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124291440).

80959860 is an abundant number, since it is smaller than the sum of its proper divisors (167623020).

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

80959860 is a wasteful number, since it uses less digits than its factorization.

80959860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 80959860 is about 8997.7697236593. The cubic root of 80959860 is about 432.6033878042.

It can be divided in two parts, 8095 and 9860, that added together give a triangular number (17955 = T189).

The spelling of 80959860 in words is "eighty million, nine hundred fifty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 5419 7470 10838 14940 16257 21676 27095 32514 48771 54190 65028 81285 97542 108380 162570 195084 243855 325140 449777 487710 899554 975420 1349331 1799108 2248885 2698662 4047993 4497770 5397324 6746655 8095986 8995540 13493310 16191972 20239965 26986620 40479930 80959860