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80417360 = 2451005217
BaseRepresentation
bin1001100101100…
…01001001010000
312121022121212202
410302301021100
5131041323420
611551342332
71664351642
oct462611120
9177277782
1080417360
1141436831
1222b219a8
131387834a
14a974892
1570d7575
hex4cb1250

80417360 has 20 divisors (see below), whose sum is σ = 186970548. Its totient is φ = 32166912.

The previous prime is 80417333. The next prime is 80417371. The reversal of 80417360 is 6371408.

It can be written as a sum of positive squares in 2 ways, for example, as 16289296 + 64128064 = 4036^2 + 8008^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 502529 + ... + 502688.

Almost surely, 280417360 is an apocalyptic number.

80417360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80417360 is an abundant number, since it is smaller than the sum of its proper divisors (106553188).

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

80417360 is a wasteful number, since it uses less digits than its factorization.

80417360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005230 (or 1005224 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 80417360 is about 8967.5726927636. The cubic root of 80417360 is about 431.6349511009.

Adding to 80417360 its reverse (6371408), we get a palindrome (86788768).

It can be divided in two parts, 8041 and 7360, that multiplied together give a triangular number (59181760 = T10879).

The spelling of 80417360 in words is "eighty million, four hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1005217 2010434 4020868 5026085 8041736 10052170 16083472 20104340 40208680 80417360