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80455060 = 22572531549
BaseRepresentation
bin1001100101110…
…10010110010100
312121101112121001
410302322112110
5131044030220
611552233044
71664566600
oct462722624
9177345531
1080455060
1141462094
1222b3b784
131388c55a
14a984500
1570e380a
hex4cba594

80455060 has 72 divisors (see below), whose sum is σ = 200377800. Its totient is φ = 27046656.

The previous prime is 80455049. The next prime is 80455129. The reversal of 80455060 is 6055408.

It can be written as a sum of positive squares in 4 ways, for example, as 9659664 + 70795396 = 3108^2 + 8414^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51166 + ... + 52714.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 280455060 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 80455060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100188900).

80455060 is an abundant number, since it is smaller than the sum of its proper divisors (119922740).

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

80455060 is a wasteful number, since it uses less digits than its factorization.

80455060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 80455060 is about 8969.6744645500. The cubic root of 80455060 is about 431.7023913295.

The spelling of 80455060 in words is "eighty million, four hundred fifty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1549 1855 2597 3098 3710 5194 6196 7420 7745 10388 10843 12985 15490 21686 25970 30980 43372 51940 54215 75901 82097 108430 151802 164194 216860 303604 328388 379505 410485 574679 759010 820970 1149358 1518020 1641940 2298716 2873395 4022753 5746790 8045506 11493580 16091012 20113765 40227530 80455060