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80290560 = 2835729103
BaseRepresentation
bin1001100100100…
…10001100000000
312121002011221110
410302102030000
5131023244220
611544523320
71663313160
oct462221400
9177064843
1080290560
114135a539
1222a80540
131383270c
14a9405a0
1570aebe0
hex4c92300

80290560 has 288 divisors, whose sum is σ = 306109440. Its totient is φ = 17547264.

The previous prime is 80290547. The next prime is 80290603. The reversal of 80290560 is 6509208.

It is a super-2 number, since 2×802905602 = 12893148050227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779469 + ... + 779571.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 280290560 is an apocalyptic number.

80290560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 8960×8961.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

80290560 is an abundant number, since it is smaller than the sum of its proper divisors (225818880).

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

80290560 is a wasteful number, since it uses less digits than its factorization.

80290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 80290560 is about 8960.4999860499. The cubic root of 80290560 is about 431.4079681737.

Adding to 80290560 its reverse (6509208), we get a palindrome (86799768).

The spelling of 80290560 in words is "eighty million, two hundred ninety thousand, five hundred sixty".