Search a number
-
+
68879616 = 283136899
BaseRepresentation
bin1000001101100…
…00010100000000
311210121110001220
410012300110000
5120113121431
610500155040
71464316131
oct406602400
9153543056
1068879616
1135976303
121b098a80
1311368890
14920dc88
1560a8b96
hex41b0500

68879616 has 72 divisors (see below), whose sum is σ = 197450400. Its totient is φ = 21190656.

The previous prime is 68879567. The next prime is 68879633. The reversal of 68879616 is 61697886.

It is a happy number.

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, 6535 + ... + 13433.

Almost surely, 268879616 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 68879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98725200).

68879616 is an abundant number, since it is smaller than the sum of its proper divisors (128570784).

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

68879616 is a wasteful number, since it uses less digits than its factorization.

68879616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931 (or 6917 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 68879616 is about 8299.3744342571. The cubic root of 68879616 is about 409.9179213051.

The spelling of 68879616 in words is "sixty-eight million, eight hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 6899 9984 13798 20697 27596 41394 55192 82788 89687 110384 165576 179374 220768 269061 331152 358748 441536 538122 662304 717496 883072 1076244 1324608 1434992 1766144 2152488 2649216 2869984 4304976 5298432 5739968 8609952 11479936 17219904 22959872 34439808 68879616