Search a number
-
+
80214480 = 24325111409
BaseRepresentation
bin1001100011111…
…11100111010000
312120221022120200
410301333213100
5131013330410
611543135200
71662545313
oct461774720
9176838520
1080214480
1141308365
1222a44500
1313806bb8
14a92097a
1570973c0
hex4c7f9d0

80214480 has 60 divisors (see below), whose sum is σ = 269389380. Its totient is φ = 21390336.

The previous prime is 80214473. The next prime is 80214487. The reversal of 80214480 is 8441208.

It is an interprime number because it is at equal distance from previous prime (80214473) and next prime (80214487).

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 48944016 = 5592^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80214487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54985 + ... + 56424.

It is an arithmetic number, because the mean of its divisors is an integer number (4489823).

Almost surely, 280214480 is an apocalyptic number.

80214480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80214480 is an abundant number, since it is smaller than the sum of its proper divisors (189174900).

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

80214480 is a wasteful number, since it uses less digits than its factorization.

80214480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111428 (or 111419 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80214480 is about 8956.2536810879. The cubic root of 80214480 is about 431.2716636880.

Adding to 80214480 its reverse (8441208), we get a palindrome (88655688).

The spelling of 80214480 in words is "eighty million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 111409 222818 334227 445636 557045 668454 891272 1002681 1114090 1336908 1671135 1782544 2005362 2228180 2673816 3342270 4010724 4456360 5013405 5347632 6684540 8021448 8912720 10026810 13369080 16042896 20053620 26738160 40107240 80214480