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77320420 = 22517713203
BaseRepresentation
bin1001001101111…
…01000011100100
312101111021200021
410212331003210
5124243223140
611401124524
71626132652
oct446750344
9171437607
1077320420
113a710a81
1221a89744
1313032838
14a3a9dd2
156bc4b4a
hex49bd0e4

77320420 has 48 divisors (see below), whose sum is σ = 174400128. Its totient is φ = 28689920.

The previous prime is 77320391. The next prime is 77320427. The reversal of 77320420 is 2402377.

It is not an unprimeable number, because it can be changed into a prime (77320427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22539 + ... + 25741.

It is an arithmetic number, because the mean of its divisors is an integer number (3633336).

Almost surely, 277320420 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 77320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87200064).

77320420 is an abundant number, since it is smaller than the sum of its proper divisors (97079708).

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

77320420 is a wasteful number, since it uses less digits than its factorization.

77320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 77320420 is about 8793.2030569071. The cubic root of 77320420 is about 426.0213865111.

Adding to 77320420 its reverse (2402377), we get a palindrome (79722797).

The spelling of 77320420 in words is "seventy-seven million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 3203 4828 6035 6406 12070 12812 16015 24140 32030 54451 64060 108902 217804 227413 272255 454826 544510 909652 1089020 1137065 2274130 3866021 4548260 7732042 15464084 19330105 38660210 77320420