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68766264 = 23327472903
BaseRepresentation
bin1000001100101…
…00101000111000
311210101200120200
410012110220320
5120101010024
610453522200
71463334510
oct406245070
9153350520
1068766264
11358a9126
121b043360
13113290c8
1491c0840
1560852c9
hex4194a38

68766264 has 96 divisors (see below), whose sum is σ = 217451520. Its totient is φ = 19222848.

The previous prime is 68766259. The next prime is 68766293. The reversal of 68766264 is 46266786.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22237 + ... + 25139.

It is an arithmetic number, because the mean of its divisors is an integer number (2265120).

Almost surely, 268766264 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 68766264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108725760).

68766264 is an abundant number, since it is smaller than the sum of its proper divisors (148685256).

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

68766264 is a wasteful number, since it uses less digits than its factorization.

68766264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2962 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 68766264 is about 8292.5426739933. The cubic root of 68766264 is about 409.6929368530.

The spelling of 68766264 in words is "sixty-eight million, seven hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2903 2961 3384 3948 5806 5922 7896 8709 11612 11844 17418 20321 23224 23688 26127 34836 40642 52254 60963 69672 81284 104508 121926 136441 162568 182889 209016 243852 272882 365778 409323 487704 545764 731556 818646 955087 1091528 1227969 1463112 1637292 1910174 2455938 2865261 3274584 3820348 4911876 5730522 7640696 8595783 9823752 11461044 17191566 22922088 34383132 68766264