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64980736 = 28412151
BaseRepresentation
bin1111011111100…
…0011100000000
311112021100210221
43313320130000
5113113340421
610240432424
71416220132
oct367703400
9145240727
1064980736
1133752a97
1219918714
1310602052
1488b7052
155a88841
hex3df8700

64980736 has 54 divisors (see below), whose sum is σ = 133828856. Its totient is φ = 31488000.

The previous prime is 64980709. The next prime is 64980737. The reversal of 64980736 is 63708946.

It is a happy number.

64980736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×649807362 = 8444992102203392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64980692 and 64980701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64980737) 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 5 ways as a sum of consecutive naturals, for example, 430261 + ... + 430411.

Almost surely, 264980736 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 64980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66914428).

64980736 is an abundant number, since it is smaller than the sum of its proper divisors (68848120).

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

64980736 is an equidigital number, since it uses as much as digits as its factorization.

64980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 64980736 is about 8061.0629572036. The cubic root of 64980736 is about 402.0328512876.

The spelling of 64980736 in words is "sixty-four million, nine hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 151 164 256 302 328 604 656 1208 1312 1681 2416 2624 3362 4832 5248 6191 6724 9664 10496 12382 13448 19328 24764 26896 38656 49528 53792 99056 107584 198112 215168 253831 396224 430336 507662 792448 1015324 1584896 2030648 4061296 8122592 16245184 32490368 64980736