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68800512 = 212311509
BaseRepresentation
bin1000001100111…
…01000000000000
311210110102120010
410012131000000
5120103104022
610454344520
71463536404
oct406350000
9153412503
1068800512
1135921930
121b05b140
131133b881
1491cd104
15609050c
hex419d000

68800512 has 104 divisors (see below), whose sum is σ = 200515680. Its totient is φ = 20807680.

The previous prime is 68800489. The next prime is 68800553. The reversal of 68800512 is 21500886.

It is a self number, because there is not a number n which added to its sum of digits gives 68800512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134914 + ... + 135422.

Almost surely, 268800512 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 68800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100257840).

68800512 is an abundant number, since it is smaller than the sum of its proper divisors (131715168).

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

68800512 is a wasteful number, since it uses less digits than its factorization.

68800512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 68800512 is about 8294.6074048143. The cubic root of 68800512 is about 409.7609393599.

The spelling of 68800512 in words is "sixty-eight million, eight hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 509 512 528 704 768 1018 1024 1056 1408 1527 1536 2036 2048 2112 2816 3054 3072 4072 4096 4224 5599 5632 6108 6144 8144 8448 11198 11264 12216 12288 16288 16797 16896 22396 22528 24432 32576 33594 33792 44792 45056 48864 65152 67188 67584 89584 97728 130304 134376 135168 179168 195456 260608 268752 358336 390912 521216 537504 716672 781824 1042432 1075008 1433344 1563648 2084864 2150016 2866688 3127296 4300032 5733376 6254592 8600064 11466752 17200128 22933504 34400256 68800512