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68790456 = 23327413329
BaseRepresentation
bin1000001100110…
…10100010111000
311210102220202200
410012122202320
5120102243311
610454230200
71463465160
oct406324270
9153386680
1068790456
1135915319
121b055360
1311337117
1491c95a0
15608c556
hex419a8b8

68790456 has 96 divisors (see below), whose sum is σ = 218181600. Its totient is φ = 19169280.

The previous prime is 68790451. The next prime is 68790467. The reversal of 68790456 is 65409786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68790451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19000 + ... + 22328.

It is an arithmetic number, because the mean of its divisors is an integer number (2272725).

Almost surely, 268790456 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 68790456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109090800).

68790456 is an abundant number, since it is smaller than the sum of its proper divisors (149391144).

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

68790456 is a wasteful number, since it uses less digits than its factorization.

68790456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 68790456 is about 8294.0012056908. The cubic root of 68790456 is about 409.7409746016.

The spelling of 68790456 in words is "sixty-eight million, seven hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3329 3444 5166 6658 6888 9987 10332 13316 19974 20664 23303 26632 29961 39948 46606 59922 69909 79896 93212 119844 136489 139818 186424 209727 239688 272978 279636 409467 419454 545956 559272 818934 838908 955423 1091912 1228401 1637868 1677816 1910846 2456802 2866269 3275736 3821692 4913604 5732538 7643384 8598807 9827208 11465076 17197614 22930152 34395228 68790456