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80307520 = 265416121
BaseRepresentation
bin1001100100101…
…10010101000000
312121010001012121
410302112111000
5131024320040
611545134024
71663413466
oct462262500
9177101177
1080307520
1141371257
1222a8a314
131383a357
14a946836
1570b4c4a
hex4c96540

80307520 has 56 divisors (see below), whose sum is σ = 195928488. Its totient is φ = 31334400.

The previous prime is 80307511. The next prime is 80307523. The reversal of 80307520 is 2570308.

80307520 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 77721856 = 1608^2 + 8816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80307523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10060 + ... + 16180.

It is an arithmetic number, because the mean of its divisors is an integer number (3498723).

Almost surely, 280307520 is an apocalyptic number.

80307520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97964244).

80307520 is an abundant number, since it is smaller than the sum of its proper divisors (115620968).

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

80307520 is a wasteful number, since it uses less digits than its factorization.

80307520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 80307520 is about 8961.4463118405. The cubic root of 80307520 is about 431.4383418732.

Adding to 80307520 its reverse (2570308), we get a palindrome (82877828).

It can be divided in two parts, 80 and 307520, that multiplied together give a square (24601600 = 49602).

The spelling of 80307520 in words is "eighty million, three hundred seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6121 6560 12242 13120 24484 30605 48968 61210 97936 122420 195872 244840 250961 391744 489680 501922 979360 1003844 1254805 1958720 2007688 2509610 4015376 5019220 8030752 10038440 16061504 20076880 40153760 80307520